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Finding the Fourth Proportional to 10,298.97, 15,449.67 and 7,718.31

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Solution

The fourth proportional to 10,298.97, 15,449.67 and 7,718.31 is: 11,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.97 : 15,449.67 = 7,718.31 : x
  2. Step 2: Convert to fraction form
    10,298.97/15,449.67 = 7,718.31/x
  3. Step 3: Cross multiply
    10,298.97x = 15,449.67 × 7,718.31
  4. Step 4: Simplify right side
    10,298.97x = 119,245,342.46
  5. Step 5: Solve for x
    x = 119,245,342.46/10,298.97
  6. Step 6: Final answer
    x = 11,578.38

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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.