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Finding the Fourth Proportional to 7,737, 10,679.72 and 5,217.50

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Solution

The fourth proportional to 7,737, 10,679.72 and 5,217.50 is: 7,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 10,679.72 = 5,217.50 : x
  2. Step 2: Convert to fraction form
    7,737/10,679.72 = 5,217.50/x
  3. Step 3: Cross multiply
    7,737x = 10,679.72 × 5,217.50
  4. Step 4: Simplify right side
    7,737x = 55,721,359.61
  5. Step 5: Solve for x
    x = 55,721,359.61/7,737
  6. Step 6: Final answer
    x = 7,201.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.