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Finding the Fourth Proportional to 8,156.86, 11,248.08 and 7,257.76

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Solution

The fourth proportional to 8,156.86, 11,248.08 and 7,257.76 is: 10,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.86 : 11,248.08 = 7,257.76 : x
  2. Step 2: Convert to fraction form
    8,156.86/11,248.08 = 7,257.76/x
  3. Step 3: Cross multiply
    8,156.86x = 11,248.08 × 7,257.76
  4. Step 4: Simplify right side
    8,156.86x = 81,635,865.10
  5. Step 5: Solve for x
    x = 81,635,865.10/8,156.86
  6. Step 6: Final answer
    x = 10,008.25

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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.