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Finding the Fourth Proportional to 7,494.64, 10,343.28 and 4,138.18

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Solution

The fourth proportional to 7,494.64, 10,343.28 and 4,138.18 is: 5,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.64 : 10,343.28 = 4,138.18 : x
  2. Step 2: Convert to fraction form
    7,494.64/10,343.28 = 4,138.18/x
  3. Step 3: Cross multiply
    7,494.64x = 10,343.28 × 4,138.18
  4. Step 4: Simplify right side
    7,494.64x = 42,802,354.43
  5. Step 5: Solve for x
    x = 42,802,354.43/7,494.64
  6. Step 6: Final answer
    x = 5,711.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.