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Finding the Fourth Proportional to 11,522.88, 15,892.56 and 8,877.60

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Solution

The fourth proportional to 11,522.88, 15,892.56 and 8,877.60 is: 12,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.88 : 15,892.56 = 8,877.60 : x
  2. Step 2: Convert to fraction form
    11,522.88/15,892.56 = 8,877.60/x
  3. Step 3: Cross multiply
    11,522.88x = 15,892.56 × 8,877.60
  4. Step 4: Simplify right side
    11,522.88x = 141,087,790.66
  5. Step 5: Solve for x
    x = 141,087,790.66/11,522.88
  6. Step 6: Final answer
    x = 12,244.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.