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Finding the Fourth Proportional to 8,998.54, 12,414.69 and 5,641.49

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Solution

The fourth proportional to 8,998.54, 12,414.69 and 5,641.49 is: 7,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,998.54 : 12,414.69 = 5,641.49 : x
  2. Step 2: Convert to fraction form
    8,998.54/12,414.69 = 5,641.49/x
  3. Step 3: Cross multiply
    8,998.54x = 12,414.69 × 5,641.49
  4. Step 4: Simplify right side
    8,998.54x = 70,037,380.52
  5. Step 5: Solve for x
    x = 70,037,380.52/8,998.54
  6. Step 6: Final answer
    x = 7,783.20

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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.