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Finding the Fourth Proportional to 10,159.68, 14,019.84 and 5,683.44

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Solution

The fourth proportional to 10,159.68, 14,019.84 and 5,683.44 is: 7,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.68 : 14,019.84 = 5,683.44 : x
  2. Step 2: Convert to fraction form
    10,159.68/14,019.84 = 5,683.44/x
  3. Step 3: Cross multiply
    10,159.68x = 14,019.84 × 5,683.44
  4. Step 4: Simplify right side
    10,159.68x = 79,680,919.45
  5. Step 5: Solve for x
    x = 79,680,919.45/10,159.68
  6. Step 6: Final answer
    x = 7,842.86

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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.