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Finding the Fourth Proportional to 10,614.60, 15,929.46 and 4,776.12

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Solution

The fourth proportional to 10,614.60, 15,929.46 and 4,776.12 is: 7,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.60 : 15,929.46 = 4,776.12 : x
  2. Step 2: Convert to fraction form
    10,614.60/15,929.46 = 4,776.12/x
  3. Step 3: Cross multiply
    10,614.60x = 15,929.46 × 4,776.12
  4. Step 4: Simplify right side
    10,614.60x = 76,081,012.50
  5. Step 5: Solve for x
    x = 76,081,012.50/10,614.60
  6. Step 6: Final answer
    x = 7,167.58

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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.