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Finding the Fourth Proportional to 10,144.17, 15,218.42 and 4,300.65

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Solution

The fourth proportional to 10,144.17, 15,218.42 and 4,300.65 is: 6,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.17 : 15,218.42 = 4,300.65 : x
  2. Step 2: Convert to fraction form
    10,144.17/15,218.42 = 4,300.65/x
  3. Step 3: Cross multiply
    10,144.17x = 15,218.42 × 4,300.65
  4. Step 4: Simplify right side
    10,144.17x = 65,449,076.47
  5. Step 5: Solve for x
    x = 65,449,076.47/10,144.17
  6. Step 6: Final answer
    x = 6,451.89

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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.