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Finding the Fourth Proportional to 10,343.46, 15,517.62 and 2,948.03

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Solution

The fourth proportional to 10,343.46, 15,517.62 and 2,948.03 is: 4,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.46 : 15,517.62 = 2,948.03 : x
  2. Step 2: Convert to fraction form
    10,343.46/15,517.62 = 2,948.03/x
  3. Step 3: Cross multiply
    10,343.46x = 15,517.62 × 2,948.03
  4. Step 4: Simplify right side
    10,343.46x = 45,746,409.29
  5. Step 5: Solve for x
    x = 45,746,409.29/10,343.46
  6. Step 6: Final answer
    x = 4,422.74

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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.