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Finding the Fourth Proportional to 7,166.34, 10,753.62 and 3,881.28

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Solution

The fourth proportional to 7,166.34, 10,753.62 and 3,881.28 is: 5,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.34 : 10,753.62 = 3,881.28 : x
  2. Step 2: Convert to fraction form
    7,166.34/10,753.62 = 3,881.28/x
  3. Step 3: Cross multiply
    7,166.34x = 10,753.62 × 3,881.28
  4. Step 4: Simplify right side
    7,166.34x = 41,737,810.23
  5. Step 5: Solve for x
    x = 41,737,810.23/7,166.34
  6. Step 6: Final answer
    x = 5,824.15

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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.