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Finding the Fourth Proportional to 7,764,314.24, 11,646,471.36 and 2,372,980.16

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Solution

The fourth proportional to 7,764,314.24, 11,646,471.36 and 2,372,980.16 is: 3,559,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764,314.24 : 11,646,471.36 = 2,372,980.16 : x
  2. Step 2: Convert to fraction form
    7,764,314.24/11,646,471.36 = 2,372,980.16/x
  3. Step 3: Cross multiply
    7,764,314.24x = 11,646,471.36 × 2,372,980.16
  4. Step 4: Simplify right side
    7,764,314.24x = 27,636,845,471,288.22
  5. Step 5: Solve for x
    x = 27,636,845,471,288.22/7,764,314.24
  6. Step 6: Final answer
    x = 3,559,470.24

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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.