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Finding the Fourth Proportional to 7,337.10, 11,005.65 and 6,105.90

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Solution

The fourth proportional to 7,337.10, 11,005.65 and 6,105.90 is: 9,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.10 : 11,005.65 = 6,105.90 : x
  2. Step 2: Convert to fraction form
    7,337.10/11,005.65 = 6,105.90/x
  3. Step 3: Cross multiply
    7,337.10x = 11,005.65 × 6,105.90
  4. Step 4: Simplify right side
    7,337.10x = 67,199,398.34
  5. Step 5: Solve for x
    x = 67,199,398.34/7,337.10
  6. Step 6: Final answer
    x = 9,158.85

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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.