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Finding the Fourth Proportional to 10,462.92, 15,694.65 and 4,619.58

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Solution

The fourth proportional to 10,462.92, 15,694.65 and 4,619.58 is: 6,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.92 : 15,694.65 = 4,619.58 : x
  2. Step 2: Convert to fraction form
    10,462.92/15,694.65 = 4,619.58/x
  3. Step 3: Cross multiply
    10,462.92x = 15,694.65 × 4,619.58
  4. Step 4: Simplify right side
    10,462.92x = 72,502,691.25
  5. Step 5: Solve for x
    x = 72,502,691.25/10,462.92
  6. Step 6: Final answer
    x = 6,929.49

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