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Finding the Fourth Proportional to 8,117.76, 12,176.56 and 3,957.60

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Solution

The fourth proportional to 8,117.76, 12,176.56 and 3,957.60 is: 5,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.76 : 12,176.56 = 3,957.60 : x
  2. Step 2: Convert to fraction form
    8,117.76/12,176.56 = 3,957.60/x
  3. Step 3: Cross multiply
    8,117.76x = 12,176.56 × 3,957.60
  4. Step 4: Simplify right side
    8,117.76x = 48,189,953.86
  5. Step 5: Solve for x
    x = 48,189,953.86/8,117.76
  6. Step 6: Final answer
    x = 5,936.36

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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.