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Finding the Fourth Proportional to 7,335.65, 10,122.57 and 4,148.78

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Solution

The fourth proportional to 7,335.65, 10,122.57 and 4,148.78 is: 5,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.65 : 10,122.57 = 4,148.78 : x
  2. Step 2: Convert to fraction form
    7,335.65/10,122.57 = 4,148.78/x
  3. Step 3: Cross multiply
    7,335.65x = 10,122.57 × 4,148.78
  4. Step 4: Simplify right side
    7,335.65x = 41,996,265.35
  5. Step 5: Solve for x
    x = 41,996,265.35/7,335.65
  6. Step 6: Final answer
    x = 5,724.96

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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.