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Finding the Fourth Proportional to 10,132.88, 15,199.25 and 2,738.07

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Solution

The fourth proportional to 10,132.88, 15,199.25 and 2,738.07 is: 4,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.88 : 15,199.25 = 2,738.07 : x
  2. Step 2: Convert to fraction form
    10,132.88/15,199.25 = 2,738.07/x
  3. Step 3: Cross multiply
    10,132.88x = 15,199.25 × 2,738.07
  4. Step 4: Simplify right side
    10,132.88x = 41,616,596.76
  5. Step 5: Solve for x
    x = 41,616,596.76/10,132.88
  6. Step 6: Final answer
    x = 4,107.09

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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.