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Finding the Fourth Proportional to 10,880.11, 16,282.87 and 7,552.14

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Solution

The fourth proportional to 10,880.11, 16,282.87 and 7,552.14 is: 11,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.11 : 16,282.87 = 7,552.14 : x
  2. Step 2: Convert to fraction form
    10,880.11/16,282.87 = 7,552.14/x
  3. Step 3: Cross multiply
    10,880.11x = 16,282.87 × 7,552.14
  4. Step 4: Simplify right side
    10,880.11x = 122,970,476.38
  5. Step 5: Solve for x
    x = 122,970,476.38/10,880.11
  6. Step 6: Final answer
    x = 11,302.32

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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.