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Finding the Fourth Proportional to 8,635.76, 12,918.76 and 7,177.84

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Solution

The fourth proportional to 8,635.76, 12,918.76 and 7,177.84 is: 10,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.76 : 12,918.76 = 7,177.84 : x
  2. Step 2: Convert to fraction form
    8,635.76/12,918.76 = 7,177.84/x
  3. Step 3: Cross multiply
    8,635.76x = 12,918.76 × 7,177.84
  4. Step 4: Simplify right side
    8,635.76x = 92,728,792.28
  5. Step 5: Solve for x
    x = 92,728,792.28/8,635.76
  6. Step 6: Final answer
    x = 10,737.77

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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.