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Finding the Fourth Proportional to 7,001.28, 10,506.24 and 3,883.68

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Solution

The fourth proportional to 7,001.28, 10,506.24 and 3,883.68 is: 5,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.28 : 10,506.24 = 3,883.68 : x
  2. Step 2: Convert to fraction form
    7,001.28/10,506.24 = 3,883.68/x
  3. Step 3: Cross multiply
    7,001.28x = 10,506.24 × 3,883.68
  4. Step 4: Simplify right side
    7,001.28x = 40,802,874.16
  5. Step 5: Solve for x
    x = 40,802,874.16/7,001.28
  6. Step 6: Final answer
    x = 5,827.92

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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.