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Finding the Fourth Proportional to 10,332.10, 15,505.17 and 6,814.54

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Solution

The fourth proportional to 10,332.10, 15,505.17 and 6,814.54 is: 10,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.10 : 15,505.17 = 6,814.54 : x
  2. Step 2: Convert to fraction form
    10,332.10/15,505.17 = 6,814.54/x
  3. Step 3: Cross multiply
    10,332.10x = 15,505.17 × 6,814.54
  4. Step 4: Simplify right side
    10,332.10x = 105,660,601.17
  5. Step 5: Solve for x
    x = 105,660,601.17/10,332.10
  6. Step 6: Final answer
    x = 10,226.44

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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.