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Finding the Fourth Proportional to 8,240.34, 12,422.08 and 7,539.78

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Solution

The fourth proportional to 8,240.34, 12,422.08 and 7,539.78 is: 11,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.34 : 12,422.08 = 7,539.78 : x
  2. Step 2: Convert to fraction form
    8,240.34/12,422.08 = 7,539.78/x
  3. Step 3: Cross multiply
    8,240.34x = 12,422.08 × 7,539.78
  4. Step 4: Simplify right side
    8,240.34x = 93,659,750.34
  5. Step 5: Solve for x
    x = 93,659,750.34/8,240.34
  6. Step 6: Final answer
    x = 11,366.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.