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Finding the Fourth Proportional to 10,314.48, 15,472.80 and 3,292.80

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Solution

The fourth proportional to 10,314.48, 15,472.80 and 3,292.80 is: 4,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.48 : 15,472.80 = 3,292.80 : x
  2. Step 2: Convert to fraction form
    10,314.48/15,472.80 = 3,292.80/x
  3. Step 3: Cross multiply
    10,314.48x = 15,472.80 × 3,292.80
  4. Step 4: Simplify right side
    10,314.48x = 50,948,835.84
  5. Step 5: Solve for x
    x = 50,948,835.84/10,314.48
  6. Step 6: Final answer
    x = 4,939.54

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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.