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Finding the Fourth Proportional to 10,461.12, 15,694.16 and 3,441.15

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Solution

The fourth proportional to 10,461.12, 15,694.16 and 3,441.15 is: 5,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.12 : 15,694.16 = 3,441.15 : x
  2. Step 2: Convert to fraction form
    10,461.12/15,694.16 = 3,441.15/x
  3. Step 3: Cross multiply
    10,461.12x = 15,694.16 × 3,441.15
  4. Step 4: Simplify right side
    10,461.12x = 54,005,941.48
  5. Step 5: Solve for x
    x = 54,005,941.48/10,461.12
  6. Step 6: Final answer
    x = 5,162.54

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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.