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Finding the Fourth Proportional to 7,660.16, 11,500.80 and 6,101.12

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Solution

The fourth proportional to 7,660.16, 11,500.80 and 6,101.12 is: 9,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.16 : 11,500.80 = 6,101.12 : x
  2. Step 2: Convert to fraction form
    7,660.16/11,500.80 = 6,101.12/x
  3. Step 3: Cross multiply
    7,660.16x = 11,500.80 × 6,101.12
  4. Step 4: Simplify right side
    7,660.16x = 70,167,760.90
  5. Step 5: Solve for x
    x = 70,167,760.90/7,660.16
  6. Step 6: Final answer
    x = 9,160.09

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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.