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Finding the Fourth Proportional to 10,414.16, 15,540.52 and 9,482.84

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Solution

The fourth proportional to 10,414.16, 15,540.52 and 9,482.84 is: 14,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.16 : 15,540.52 = 9,482.84 : x
  2. Step 2: Convert to fraction form
    10,414.16/15,540.52 = 9,482.84/x
  3. Step 3: Cross multiply
    10,414.16x = 15,540.52 × 9,482.84
  4. Step 4: Simplify right side
    10,414.16x = 147,368,264.68
  5. Step 5: Solve for x
    x = 147,368,264.68/10,414.16
  6. Step 6: Final answer
    x = 14,150.76

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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.