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Finding the Fourth Proportional to 10,092.88, 13,920.28 and 6,557.23

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Solution

The fourth proportional to 10,092.88, 13,920.28 and 6,557.23 is: 9,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.88 : 13,920.28 = 6,557.23 : x
  2. Step 2: Convert to fraction form
    10,092.88/13,920.28 = 6,557.23/x
  3. Step 3: Cross multiply
    10,092.88x = 13,920.28 × 6,557.23
  4. Step 4: Simplify right side
    10,092.88x = 91,278,477.62
  5. Step 5: Solve for x
    x = 91,278,477.62/10,092.88
  6. Step 6: Final answer
    x = 9,043.85

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