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Finding the Fourth Proportional to 8,678.63, 13,017.86 and 2,104.82

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Solution

The fourth proportional to 8,678.63, 13,017.86 and 2,104.82 is: 3,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.63 : 13,017.86 = 2,104.82 : x
  2. Step 2: Convert to fraction form
    8,678.63/13,017.86 = 2,104.82/x
  3. Step 3: Cross multiply
    8,678.63x = 13,017.86 × 2,104.82
  4. Step 4: Simplify right side
    8,678.63x = 27,400,210.90
  5. Step 5: Solve for x
    x = 27,400,210.90/8,678.63
  6. Step 6: Final answer
    x = 3,157.20

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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.