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Finding the Fourth Proportional to 7,494.65, 10,343.27 and 4,138.19

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Solution

The fourth proportional to 7,494.65, 10,343.27 and 4,138.19 is: 5,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.65 : 10,343.27 = 4,138.19 : x
  2. Step 2: Convert to fraction form
    7,494.65/10,343.27 = 4,138.19/x
  3. Step 3: Cross multiply
    7,494.65x = 10,343.27 × 4,138.19
  4. Step 4: Simplify right side
    7,494.65x = 42,802,416.48
  5. Step 5: Solve for x
    x = 42,802,416.48/7,494.65
  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.