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Finding the Fourth Proportional to 10,105.20, 15,159.42 and 6,826.32

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Solution

The fourth proportional to 10,105.20, 15,159.42 and 6,826.32 is: 10,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.20 : 15,159.42 = 6,826.32 : x
  2. Step 2: Convert to fraction form
    10,105.20/15,159.42 = 6,826.32/x
  3. Step 3: Cross multiply
    10,105.20x = 15,159.42 × 6,826.32
  4. Step 4: Simplify right side
    10,105.20x = 103,483,051.93
  5. Step 5: Solve for x
    x = 103,483,051.93/10,105.20
  6. Step 6: Final answer
    x = 10,240.57

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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.