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Finding the Fourth Proportional to 7,495.20, 10,344 and 4,138.32

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Solution

The fourth proportional to 7,495.20, 10,344 and 4,138.32 is: 5,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.20 : 10,344 = 4,138.32 : x
  2. Step 2: Convert to fraction form
    7,495.20/10,344 = 4,138.32/x
  3. Step 3: Cross multiply
    7,495.20x = 10,344 × 4,138.32
  4. Step 4: Simplify right side
    7,495.20x = 42,806,782.08
  5. Step 5: Solve for x
    x = 42,806,782.08/7,495.20
  6. Step 6: Final answer
    x = 5,711.23

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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.