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Finding the Fourth Proportional to 7,441.72, 10,243.80 and 6,432.96

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Solution

The fourth proportional to 7,441.72, 10,243.80 and 6,432.96 is: 8,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.72 : 10,243.80 = 6,432.96 : x
  2. Step 2: Convert to fraction form
    7,441.72/10,243.80 = 6,432.96/x
  3. Step 3: Cross multiply
    7,441.72x = 10,243.80 × 6,432.96
  4. Step 4: Simplify right side
    7,441.72x = 65,897,955.65
  5. Step 5: Solve for x
    x = 65,897,955.65/7,441.72
  6. Step 6: Final answer
    x = 8,855.20

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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.