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Finding the Fourth Proportional to 7,490.75, 10,337.24 and 4,178.75

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Solution

The fourth proportional to 7,490.75, 10,337.24 and 4,178.75 is: 5,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.75 : 10,337.24 = 4,178.75 : x
  2. Step 2: Convert to fraction form
    7,490.75/10,337.24 = 4,178.75/x
  3. Step 3: Cross multiply
    7,490.75x = 10,337.24 × 4,178.75
  4. Step 4: Simplify right side
    7,490.75x = 43,196,741.65
  5. Step 5: Solve for x
    x = 43,196,741.65/7,490.75
  6. Step 6: Final answer
    x = 5,766.68

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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.