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Finding the Fourth Proportional to 7,535.98, 10,398.91 and 4,178.71

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Solution

The fourth proportional to 7,535.98, 10,398.91 and 4,178.71 is: 5,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.98 : 10,398.91 = 4,178.71 : x
  2. Step 2: Convert to fraction form
    7,535.98/10,398.91 = 4,178.71/x
  3. Step 3: Cross multiply
    7,535.98x = 10,398.91 × 4,178.71
  4. Step 4: Simplify right side
    7,535.98x = 43,454,029.21
  5. Step 5: Solve for x
    x = 43,454,029.21/7,535.98
  6. Step 6: Final answer
    x = 5,766.21

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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.