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Finding the Fourth Proportional to 8,241.42, 12,426.78 and 7,552.50

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Solution

The fourth proportional to 8,241.42, 12,426.78 and 7,552.50 is: 11,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.42 : 12,426.78 = 7,552.50 : x
  2. Step 2: Convert to fraction form
    8,241.42/12,426.78 = 7,552.50/x
  3. Step 3: Cross multiply
    8,241.42x = 12,426.78 × 7,552.50
  4. Step 4: Simplify right side
    8,241.42x = 93,853,255.95
  5. Step 5: Solve for x
    x = 93,853,255.95/8,241.42
  6. Step 6: Final answer
    x = 11,388.00

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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.