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Finding the Fourth Proportional to 8,724.21, 12,039.03 and 4,947.54

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Solution

The fourth proportional to 8,724.21, 12,039.03 and 4,947.54 is: 6,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.21 : 12,039.03 = 4,947.54 : x
  2. Step 2: Convert to fraction form
    8,724.21/12,039.03 = 4,947.54/x
  3. Step 3: Cross multiply
    8,724.21x = 12,039.03 × 4,947.54
  4. Step 4: Simplify right side
    8,724.21x = 59,563,582.49
  5. Step 5: Solve for x
    x = 59,563,582.49/8,724.21
  6. Step 6: Final answer
    x = 6,827.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.