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Finding the Fourth Proportional to 10,519.97, 15,782.11 and 3,123.77

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Solution

The fourth proportional to 10,519.97, 15,782.11 and 3,123.77 is: 4,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.97 : 15,782.11 = 3,123.77 : x
  2. Step 2: Convert to fraction form
    10,519.97/15,782.11 = 3,123.77/x
  3. Step 3: Cross multiply
    10,519.97x = 15,782.11 × 3,123.77
  4. Step 4: Simplify right side
    10,519.97x = 49,299,595.03
  5. Step 5: Solve for x
    x = 49,299,595.03/10,519.97
  6. Step 6: Final answer
    x = 4,686.29

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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.