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Finding the Fourth Proportional to 7,347.20, 11,006.91 and 5,695.66

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Solution

The fourth proportional to 7,347.20, 11,006.91 and 5,695.66 is: 8,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.20 : 11,006.91 = 5,695.66 : x
  2. Step 2: Convert to fraction form
    7,347.20/11,006.91 = 5,695.66/x
  3. Step 3: Cross multiply
    7,347.20x = 11,006.91 × 5,695.66
  4. Step 4: Simplify right side
    7,347.20x = 62,691,617.01
  5. Step 5: Solve for x
    x = 62,691,617.01/7,347.20
  6. Step 6: Final answer
    x = 8,532.72

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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.