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Finding the Fourth Proportional to 8,678.63, 13,015.24 and 3,131.24

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Solution

The fourth proportional to 8,678.63, 13,015.24 and 3,131.24 is: 4,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.63 : 13,015.24 = 3,131.24 : x
  2. Step 2: Convert to fraction form
    8,678.63/13,015.24 = 3,131.24/x
  3. Step 3: Cross multiply
    8,678.63x = 13,015.24 × 3,131.24
  4. Step 4: Simplify right side
    8,678.63x = 40,753,864.81
  5. Step 5: Solve for x
    x = 40,753,864.81/8,678.63
  6. Step 6: Final answer
    x = 4,695.89

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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.