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Finding the Fourth Proportional to 10,092.83, 15,074.65 and 9,141.56

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Solution

The fourth proportional to 10,092.83, 15,074.65 and 9,141.56 is: 13,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.83 : 15,074.65 = 9,141.56 : x
  2. Step 2: Convert to fraction form
    10,092.83/15,074.65 = 9,141.56/x
  3. Step 3: Cross multiply
    10,092.83x = 15,074.65 × 9,141.56
  4. Step 4: Simplify right side
    10,092.83x = 137,805,817.45
  5. Step 5: Solve for x
    x = 137,805,817.45/10,092.83
  6. Step 6: Final answer
    x = 13,653.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.