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Finding the Fourth Proportional to 7,564.33, 11,344.98 and 2,881.12

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Solution

The fourth proportional to 7,564.33, 11,344.98 and 2,881.12 is: 4,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.33 : 11,344.98 = 2,881.12 : x
  2. Step 2: Convert to fraction form
    7,564.33/11,344.98 = 2,881.12/x
  3. Step 3: Cross multiply
    7,564.33x = 11,344.98 × 2,881.12
  4. Step 4: Simplify right side
    7,564.33x = 32,686,248.78
  5. Step 5: Solve for x
    x = 32,686,248.78/7,564.33
  6. Step 6: Final answer
    x = 4,321.10

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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.