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Finding the Fourth Proportional to 10,462.60, 15,694.80 and 3,440.50

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Solution

The fourth proportional to 10,462.60, 15,694.80 and 3,440.50 is: 5,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.60 : 15,694.80 = 3,440.50 : x
  2. Step 2: Convert to fraction form
    10,462.60/15,694.80 = 3,440.50/x
  3. Step 3: Cross multiply
    10,462.60x = 15,694.80 × 3,440.50
  4. Step 4: Simplify right side
    10,462.60x = 53,997,959.40
  5. Step 5: Solve for x
    x = 53,997,959.40/10,462.60
  6. Step 6: Final answer
    x = 5,161.05

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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.