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Finding the Fourth Proportional to 7,164.91, 10,737.35 and 6,105.19

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Solution

The fourth proportional to 7,164.91, 10,737.35 and 6,105.19 is: 9,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.91 : 10,737.35 = 6,105.19 : x
  2. Step 2: Convert to fraction form
    7,164.91/10,737.35 = 6,105.19/x
  3. Step 3: Cross multiply
    7,164.91x = 10,737.35 × 6,105.19
  4. Step 4: Simplify right side
    7,164.91x = 65,553,524.41
  5. Step 5: Solve for x
    x = 65,553,524.41/7,164.91
  6. Step 6: Final answer
    x = 9,149.25

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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.