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Finding the Fourth Proportional to 10,535.38, 15,807.68 and 4,992.68

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Solution

The fourth proportional to 10,535.38, 15,807.68 and 4,992.68 is: 7,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.38 : 15,807.68 = 4,992.68 : x
  2. Step 2: Convert to fraction form
    10,535.38/15,807.68 = 4,992.68/x
  3. Step 3: Cross multiply
    10,535.38x = 15,807.68 × 4,992.68
  4. Step 4: Simplify right side
    10,535.38x = 78,922,687.78
  5. Step 5: Solve for x
    x = 78,922,687.78/10,535.38
  6. Step 6: Final answer
    x = 7,491.20

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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.