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Finding the Fourth Proportional to 10,318.83, 15,467.04 and 5,057.40

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Solution

The fourth proportional to 10,318.83, 15,467.04 and 5,057.40 is: 7,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.83 : 15,467.04 = 5,057.40 : x
  2. Step 2: Convert to fraction form
    10,318.83/15,467.04 = 5,057.40/x
  3. Step 3: Cross multiply
    10,318.83x = 15,467.04 × 5,057.40
  4. Step 4: Simplify right side
    10,318.83x = 78,223,008.10
  5. Step 5: Solve for x
    x = 78,223,008.10/10,318.83
  6. Step 6: Final answer
    x = 7,580.61

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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.