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Finding the Fourth Proportional to 10,465.18, 15,677.72 and 10,113.44

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Solution

The fourth proportional to 10,465.18, 15,677.72 and 10,113.44 is: 15,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.18 : 15,677.72 = 10,113.44 : x
  2. Step 2: Convert to fraction form
    10,465.18/15,677.72 = 10,113.44/x
  3. Step 3: Cross multiply
    10,465.18x = 15,677.72 × 10,113.44
  4. Step 4: Simplify right side
    10,465.18x = 158,555,680.56
  5. Step 5: Solve for x
    x = 158,555,680.56/10,465.18
  6. Step 6: Final answer
    x = 15,150.78

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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.