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Finding the Fourth Proportional to 7,846.74, 11,762.69 and 2,913.03

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Solution

The fourth proportional to 7,846.74, 11,762.69 and 2,913.03 is: 4,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.74 : 11,762.69 = 2,913.03 : x
  2. Step 2: Convert to fraction form
    7,846.74/11,762.69 = 2,913.03/x
  3. Step 3: Cross multiply
    7,846.74x = 11,762.69 × 2,913.03
  4. Step 4: Simplify right side
    7,846.74x = 34,265,054.29
  5. Step 5: Solve for x
    x = 34,265,054.29/7,846.74
  6. Step 6: Final answer
    x = 4,366.79

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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.