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Finding the Fourth Proportional to 10,159.17, 14,020.28 and 5,683.22

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Solution

The fourth proportional to 10,159.17, 14,020.28 and 5,683.22 is: 7,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.17 : 14,020.28 = 5,683.22 : x
  2. Step 2: Convert to fraction form
    10,159.17/14,020.28 = 5,683.22/x
  3. Step 3: Cross multiply
    10,159.17x = 14,020.28 × 5,683.22
  4. Step 4: Simplify right side
    10,159.17x = 79,680,384.96
  5. Step 5: Solve for x
    x = 79,680,384.96/10,159.17
  6. Step 6: Final answer
    x = 7,843.20

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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.