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Finding the Fourth Proportional to 10,107.36, 15,144.36 and 6,159.64

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Solution

The fourth proportional to 10,107.36, 15,144.36 and 6,159.64 is: 9,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.36 : 15,144.36 = 6,159.64 : x
  2. Step 2: Convert to fraction form
    10,107.36/15,144.36 = 6,159.64/x
  3. Step 3: Cross multiply
    10,107.36x = 15,144.36 × 6,159.64
  4. Step 4: Simplify right side
    10,107.36x = 93,283,805.63
  5. Step 5: Solve for x
    x = 93,283,805.63/10,107.36
  6. Step 6: Final answer
    x = 9,229.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.