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Finding the Fourth Proportional to 10,471.80, 15,705.26 and 3,074.27

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Solution

The fourth proportional to 10,471.80, 15,705.26 and 3,074.27 is: 4,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.80 : 15,705.26 = 3,074.27 : x
  2. Step 2: Convert to fraction form
    10,471.80/15,705.26 = 3,074.27/x
  3. Step 3: Cross multiply
    10,471.80x = 15,705.26 × 3,074.27
  4. Step 4: Simplify right side
    10,471.80x = 48,282,209.66
  5. Step 5: Solve for x
    x = 48,282,209.66/10,471.80
  6. Step 6: Final answer
    x = 4,610.69

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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.