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Finding the Fourth Proportional to 10,159.75, 14,020.06 and 5,683.92

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Solution

The fourth proportional to 10,159.75, 14,020.06 and 5,683.92 is: 7,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.75 : 14,020.06 = 5,683.92 : x
  2. Step 2: Convert to fraction form
    10,159.75/14,020.06 = 5,683.92/x
  3. Step 3: Cross multiply
    10,159.75x = 14,020.06 × 5,683.92
  4. Step 4: Simplify right side
    10,159.75x = 79,688,899.44
  5. Step 5: Solve for x
    x = 79,688,899.44/10,159.75
  6. Step 6: Final answer
    x = 7,843.59

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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.