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Finding the Fourth Proportional to 10,456.74, 15,675.39 and 9,876.78

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Solution

The fourth proportional to 10,456.74, 15,675.39 and 9,876.78 is: 14,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.74 : 15,675.39 = 9,876.78 : x
  2. Step 2: Convert to fraction form
    10,456.74/15,675.39 = 9,876.78/x
  3. Step 3: Cross multiply
    10,456.74x = 15,675.39 × 9,876.78
  4. Step 4: Simplify right side
    10,456.74x = 154,822,378.44
  5. Step 5: Solve for x
    x = 154,822,378.44/10,456.74
  6. Step 6: Final answer
    x = 14,805.99

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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.