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Finding the Fourth Proportional to 7,496, 10,344.81 and 4,138.82

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Solution

The fourth proportional to 7,496, 10,344.81 and 4,138.82 is: 5,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496 : 10,344.81 = 4,138.82 : x
  2. Step 2: Convert to fraction form
    7,496/10,344.81 = 4,138.82/x
  3. Step 3: Cross multiply
    7,496x = 10,344.81 × 4,138.82
  4. Step 4: Simplify right side
    7,496x = 42,815,306.52
  5. Step 5: Solve for x
    x = 42,815,306.52/7,496
  6. Step 6: Final answer
    x = 5,711.75

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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.