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Finding the Fourth Proportional to 8,737.60, 12,056.04 and 5,200.12

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Solution

The fourth proportional to 8,737.60, 12,056.04 and 5,200.12 is: 7,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.60 : 12,056.04 = 5,200.12 : x
  2. Step 2: Convert to fraction form
    8,737.60/12,056.04 = 5,200.12/x
  3. Step 3: Cross multiply
    8,737.60x = 12,056.04 × 5,200.12
  4. Step 4: Simplify right side
    8,737.60x = 62,692,854.72
  5. Step 5: Solve for x
    x = 62,692,854.72/8,737.60
  6. Step 6: Final answer
    x = 7,175.07

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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.