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Finding the Fourth Proportional to 10,469.20, 15,703.80 and 3,894.54

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Solution

The fourth proportional to 10,469.20, 15,703.80 and 3,894.54 is: 5,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.20 : 15,703.80 = 3,894.54 : x
  2. Step 2: Convert to fraction form
    10,469.20/15,703.80 = 3,894.54/x
  3. Step 3: Cross multiply
    10,469.20x = 15,703.80 × 3,894.54
  4. Step 4: Simplify right side
    10,469.20x = 61,159,077.25
  5. Step 5: Solve for x
    x = 61,159,077.25/10,469.20
  6. Step 6: Final answer
    x = 5,841.81

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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.