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Finding the Fourth Proportional to 10,469.77, 15,703.48 and 3,074.29

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Solution

The fourth proportional to 10,469.77, 15,703.48 and 3,074.29 is: 4,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.77 : 15,703.48 = 3,074.29 : x
  2. Step 2: Convert to fraction form
    10,469.77/15,703.48 = 3,074.29/x
  3. Step 3: Cross multiply
    10,469.77x = 15,703.48 × 3,074.29
  4. Step 4: Simplify right side
    10,469.77x = 48,277,051.53
  5. Step 5: Solve for x
    x = 48,277,051.53/10,469.77
  6. Step 6: Final answer
    x = 4,611.09

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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.