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Finding the Fourth Proportional to 7,764,437.40, 11,659,097.70 and 5,873,314.20

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Solution

The fourth proportional to 7,764,437.40, 11,659,097.70 and 5,873,314.20 is: 8,819,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764,437.40 : 11,659,097.70 = 5,873,314.20 : x
  2. Step 2: Convert to fraction form
    7,764,437.40/11,659,097.70 = 5,873,314.20/x
  3. Step 3: Cross multiply
    7,764,437.40x = 11,659,097.70 × 5,873,314.20
  4. Step 4: Simplify right side
    7,764,437.40x = 68,477,544,080,597.34
  5. Step 5: Solve for x
    x = 68,477,544,080,597.34/7,764,437.40
  6. Step 6: Final answer
    x = 8,819,382.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.