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Finding the Fourth Proportional to 10,299.54, 15,449.28 and 8,908.74

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Solution

The fourth proportional to 10,299.54, 15,449.28 and 8,908.74 is: 13,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.54 : 15,449.28 = 8,908.74 : x
  2. Step 2: Convert to fraction form
    10,299.54/15,449.28 = 8,908.74/x
  3. Step 3: Cross multiply
    10,299.54x = 15,449.28 × 8,908.74
  4. Step 4: Simplify right side
    10,299.54x = 137,633,618.71
  5. Step 5: Solve for x
    x = 137,633,618.71/10,299.54
  6. Step 6: Final answer
    x = 13,363.08

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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.