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Finding the Fourth Proportional to 8,159.28, 11,248.90 and 6,486.24

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Solution

The fourth proportional to 8,159.28, 11,248.90 and 6,486.24 is: 8,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.28 : 11,248.90 = 6,486.24 : x
  2. Step 2: Convert to fraction form
    8,159.28/11,248.90 = 6,486.24/x
  3. Step 3: Cross multiply
    8,159.28x = 11,248.90 × 6,486.24
  4. Step 4: Simplify right side
    8,159.28x = 72,963,065.14
  5. Step 5: Solve for x
    x = 72,963,065.14/8,159.28
  6. Step 6: Final answer
    x = 8,942.34

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