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Finding the Fourth Proportional to 11,522.64, 15,901.68 and 6,487.78

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Solution

The fourth proportional to 11,522.64, 15,901.68 and 6,487.78 is: 8,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.64 : 15,901.68 = 6,487.78 : x
  2. Step 2: Convert to fraction form
    11,522.64/15,901.68 = 6,487.78/x
  3. Step 3: Cross multiply
    11,522.64x = 15,901.68 × 6,487.78
  4. Step 4: Simplify right side
    11,522.64x = 103,166,601.47
  5. Step 5: Solve for x
    x = 103,166,601.47/11,522.64
  6. Step 6: Final answer
    x = 8,953.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.