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Finding the Fourth Proportional to 7,344.46, 10,138.05 and 5,365.18

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Solution

The fourth proportional to 7,344.46, 10,138.05 and 5,365.18 is: 7,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.46 : 10,138.05 = 5,365.18 : x
  2. Step 2: Convert to fraction form
    7,344.46/10,138.05 = 5,365.18/x
  3. Step 3: Cross multiply
    7,344.46x = 10,138.05 × 5,365.18
  4. Step 4: Simplify right side
    7,344.46x = 54,392,463.10
  5. Step 5: Solve for x
    x = 54,392,463.10/7,344.46
  6. Step 6: Final answer
    x = 7,405.92

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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.