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Finding the Fourth Proportional to 8,724.78, 12,039.90 and 4,947.78

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Solution

The fourth proportional to 8,724.78, 12,039.90 and 4,947.78 is: 6,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.78 : 12,039.90 = 4,947.78 : x
  2. Step 2: Convert to fraction form
    8,724.78/12,039.90 = 4,947.78/x
  3. Step 3: Cross multiply
    8,724.78x = 12,039.90 × 4,947.78
  4. Step 4: Simplify right side
    8,724.78x = 59,570,776.42
  5. Step 5: Solve for x
    x = 59,570,776.42/8,724.78
  6. Step 6: Final answer
    x = 6,827.77

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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.