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Finding the Fourth Proportional to 10,478.49, 15,717.92 and 8,388.78

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Solution

The fourth proportional to 10,478.49, 15,717.92 and 8,388.78 is: 12,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.49 : 15,717.92 = 8,388.78 : x
  2. Step 2: Convert to fraction form
    10,478.49/15,717.92 = 8,388.78/x
  3. Step 3: Cross multiply
    10,478.49x = 15,717.92 × 8,388.78
  4. Step 4: Simplify right side
    10,478.49x = 131,854,130.99
  5. Step 5: Solve for x
    x = 131,854,130.99/10,478.49
  6. Step 6: Final answer
    x = 12,583.31

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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.