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Finding the Fourth Proportional to 10,869.96, 16,295.22 and 5,319.84

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Solution

The fourth proportional to 10,869.96, 16,295.22 and 5,319.84 is: 7,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.96 : 16,295.22 = 5,319.84 : x
  2. Step 2: Convert to fraction form
    10,869.96/16,295.22 = 5,319.84/x
  3. Step 3: Cross multiply
    10,869.96x = 16,295.22 × 5,319.84
  4. Step 4: Simplify right side
    10,869.96x = 86,687,963.16
  5. Step 5: Solve for x
    x = 86,687,963.16/10,869.96
  6. Step 6: Final answer
    x = 7,975.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.