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Finding the Fourth Proportional to 10,462.63, 15,695.48 and 3,441.33

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Solution

The fourth proportional to 10,462.63, 15,695.48 and 3,441.33 is: 5,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.63 : 15,695.48 = 3,441.33 : x
  2. Step 2: Convert to fraction form
    10,462.63/15,695.48 = 3,441.33/x
  3. Step 3: Cross multiply
    10,462.63x = 15,695.48 × 3,441.33
  4. Step 4: Simplify right side
    10,462.63x = 54,013,359.58
  5. Step 5: Solve for x
    x = 54,013,359.58/10,462.63
  6. Step 6: Final answer
    x = 5,162.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.