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Finding the Fourth Proportional to 10,372.48, 15,557.76 and 4,216

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Solution

The fourth proportional to 10,372.48, 15,557.76 and 4,216 is: 6,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.48 : 15,557.76 = 4,216 : x
  2. Step 2: Convert to fraction form
    10,372.48/15,557.76 = 4,216/x
  3. Step 3: Cross multiply
    10,372.48x = 15,557.76 × 4,216
  4. Step 4: Simplify right side
    10,372.48x = 65,591,516.16
  5. Step 5: Solve for x
    x = 65,591,516.16/10,372.48
  6. Step 6: Final answer
    x = 6,323.61

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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.