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Finding the Fourth Proportional to 10,175.88, 15,254.42 and 3,510.78

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Solution

The fourth proportional to 10,175.88, 15,254.42 and 3,510.78 is: 5,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.88 : 15,254.42 = 3,510.78 : x
  2. Step 2: Convert to fraction form
    10,175.88/15,254.42 = 3,510.78/x
  3. Step 3: Cross multiply
    10,175.88x = 15,254.42 × 3,510.78
  4. Step 4: Simplify right side
    10,175.88x = 53,554,912.65
  5. Step 5: Solve for x
    x = 53,554,912.65/10,175.88
  6. Step 6: Final answer
    x = 5,262.93

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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.