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Finding the Fourth Proportional to 10,083.12, 13,918.58 and 6,724.71

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Solution

The fourth proportional to 10,083.12, 13,918.58 and 6,724.71 is: 9,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.12 : 13,918.58 = 6,724.71 : x
  2. Step 2: Convert to fraction form
    10,083.12/13,918.58 = 6,724.71/x
  3. Step 3: Cross multiply
    10,083.12x = 13,918.58 × 6,724.71
  4. Step 4: Simplify right side
    10,083.12x = 93,598,380.49
  5. Step 5: Solve for x
    x = 93,598,380.49/10,083.12
  6. Step 6: Final answer
    x = 9,282.68

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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.