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Finding the Fourth Proportional to 10,159.68, 14,021.28 and 5,968.56

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Solution

The fourth proportional to 10,159.68, 14,021.28 and 5,968.56 is: 8,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.68 : 14,021.28 = 5,968.56 : x
  2. Step 2: Convert to fraction form
    10,159.68/14,021.28 = 5,968.56/x
  3. Step 3: Cross multiply
    10,159.68x = 14,021.28 × 5,968.56
  4. Step 4: Simplify right side
    10,159.68x = 83,686,850.96
  5. Step 5: Solve for x
    x = 83,686,850.96/10,159.68
  6. Step 6: Final answer
    x = 8,237.15

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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.