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Finding the Fourth Proportional to 7,615.20, 11,422.80 and 5,282.40

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Solution

The fourth proportional to 7,615.20, 11,422.80 and 5,282.40 is: 7,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.20 : 11,422.80 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    7,615.20/11,422.80 = 5,282.40/x
  3. Step 3: Cross multiply
    7,615.20x = 11,422.80 × 5,282.40
  4. Step 4: Simplify right side
    7,615.20x = 60,339,798.72
  5. Step 5: Solve for x
    x = 60,339,798.72/7,615.20
  6. Step 6: Final answer
    x = 7,923.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.