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Finding the Fourth Proportional to 8,724.48, 12,039.68 and 5,744.64

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Solution

The fourth proportional to 8,724.48, 12,039.68 and 5,744.64 is: 7,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.48 : 12,039.68 = 5,744.64 : x
  2. Step 2: Convert to fraction form
    8,724.48/12,039.68 = 5,744.64/x
  3. Step 3: Cross multiply
    8,724.48x = 12,039.68 × 5,744.64
  4. Step 4: Simplify right side
    8,724.48x = 69,163,627.32
  5. Step 5: Solve for x
    x = 69,163,627.32/8,724.48
  6. Step 6: Final answer
    x = 7,927.54

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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.