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Finding the Fourth Proportional to 10,100.76, 15,151.28 and 3,863.64

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Solution

The fourth proportional to 10,100.76, 15,151.28 and 3,863.64 is: 5,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.76 : 15,151.28 = 3,863.64 : x
  2. Step 2: Convert to fraction form
    10,100.76/15,151.28 = 3,863.64/x
  3. Step 3: Cross multiply
    10,100.76x = 15,151.28 × 3,863.64
  4. Step 4: Simplify right side
    10,100.76x = 58,539,091.46
  5. Step 5: Solve for x
    x = 58,539,091.46/10,100.76
  6. Step 6: Final answer
    x = 5,795.51

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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.