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Finding the Fourth Proportional to 11,553.36, 17,332.60 and 5,394

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Solution

The fourth proportional to 11,553.36, 17,332.60 and 5,394 is: 8,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.36 : 17,332.60 = 5,394 : x
  2. Step 2: Convert to fraction form
    11,553.36/17,332.60 = 5,394/x
  3. Step 3: Cross multiply
    11,553.36x = 17,332.60 × 5,394
  4. Step 4: Simplify right side
    11,553.36x = 93,492,044.40
  5. Step 5: Solve for x
    x = 93,492,044.40/11,553.36
  6. Step 6: Final answer
    x = 8,092.20

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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.