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Finding the Fourth Proportional to 7,102.81, 10,639.63 and 5,708.60

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Solution

The fourth proportional to 7,102.81, 10,639.63 and 5,708.60 is: 8,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.81 : 10,639.63 = 5,708.60 : x
  2. Step 2: Convert to fraction form
    7,102.81/10,639.63 = 5,708.60/x
  3. Step 3: Cross multiply
    7,102.81x = 10,639.63 × 5,708.60
  4. Step 4: Simplify right side
    7,102.81x = 60,737,391.82
  5. Step 5: Solve for x
    x = 60,737,391.82/7,102.81
  6. Step 6: Final answer
    x = 8,551.18

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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.