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Finding the Fourth Proportional to 10,473.82, 15,713.23 and 3,078.11

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Solution

The fourth proportional to 10,473.82, 15,713.23 and 3,078.11 is: 4,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.82 : 15,713.23 = 3,078.11 : x
  2. Step 2: Convert to fraction form
    10,473.82/15,713.23 = 3,078.11/x
  3. Step 3: Cross multiply
    10,473.82x = 15,713.23 × 3,078.11
  4. Step 4: Simplify right side
    10,473.82x = 48,367,050.40
  5. Step 5: Solve for x
    x = 48,367,050.40/10,473.82
  6. Step 6: Final answer
    x = 4,617.90

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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.