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Finding the Fourth Proportional to 10,159.62, 14,021.56 and 5,683.62

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Solution

The fourth proportional to 10,159.62, 14,021.56 and 5,683.62 is: 7,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.62 : 14,021.56 = 5,683.62 : x
  2. Step 2: Convert to fraction form
    10,159.62/14,021.56 = 5,683.62/x
  3. Step 3: Cross multiply
    10,159.62x = 14,021.56 × 5,683.62
  4. Step 4: Simplify right side
    10,159.62x = 79,693,218.85
  5. Step 5: Solve for x
    x = 79,693,218.85/10,159.62
  6. Step 6: Final answer
    x = 7,844.11

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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.