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Finding the Fourth Proportional to 7,319.70, 10,972.35 and 6,542.10

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Solution

The fourth proportional to 7,319.70, 10,972.35 and 6,542.10 is: 9,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.70 : 10,972.35 = 6,542.10 : x
  2. Step 2: Convert to fraction form
    7,319.70/10,972.35 = 6,542.10/x
  3. Step 3: Cross multiply
    7,319.70x = 10,972.35 × 6,542.10
  4. Step 4: Simplify right side
    7,319.70x = 71,782,210.94
  5. Step 5: Solve for x
    x = 71,782,210.94/7,319.70
  6. Step 6: Final answer
    x = 9,806.71

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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.