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Finding the Fourth Proportional to 10,318.26, 15,478.11 and 5,384.82

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Solution

The fourth proportional to 10,318.26, 15,478.11 and 5,384.82 is: 8,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.26 : 15,478.11 = 5,384.82 : x
  2. Step 2: Convert to fraction form
    10,318.26/15,478.11 = 5,384.82/x
  3. Step 3: Cross multiply
    10,318.26x = 15,478.11 × 5,384.82
  4. Step 4: Simplify right side
    10,318.26x = 83,346,836.29
  5. Step 5: Solve for x
    x = 83,346,836.29/10,318.26
  6. Step 6: Final answer
    x = 8,077.61

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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.