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Finding the Fourth Proportional to 10,250.51, 15,375.83 and 2,854.98

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Solution

The fourth proportional to 10,250.51, 15,375.83 and 2,854.98 is: 4,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.51 : 15,375.83 = 2,854.98 : x
  2. Step 2: Convert to fraction form
    10,250.51/15,375.83 = 2,854.98/x
  3. Step 3: Cross multiply
    10,250.51x = 15,375.83 × 2,854.98
  4. Step 4: Simplify right side
    10,250.51x = 43,897,737.73
  5. Step 5: Solve for x
    x = 43,897,737.73/10,250.51
  6. Step 6: Final answer
    x = 4,282.49

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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.