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Finding the Fourth Proportional to 7,311.10, 10,966.65 and 7,165.30

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Solution

The fourth proportional to 7,311.10, 10,966.65 and 7,165.30 is: 10,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.10 : 10,966.65 = 7,165.30 : x
  2. Step 2: Convert to fraction form
    7,311.10/10,966.65 = 7,165.30/x
  3. Step 3: Cross multiply
    7,311.10x = 10,966.65 × 7,165.30
  4. Step 4: Simplify right side
    7,311.10x = 78,579,337.25
  5. Step 5: Solve for x
    x = 78,579,337.25/7,311.10
  6. Step 6: Final answer
    x = 10,747.95

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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.