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Finding the Fourth Proportional to 8,680.16, 11,978.63 and 4,701.29

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Solution

The fourth proportional to 8,680.16, 11,978.63 and 4,701.29 is: 6,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.16 : 11,978.63 = 4,701.29 : x
  2. Step 2: Convert to fraction form
    8,680.16/11,978.63 = 4,701.29/x
  3. Step 3: Cross multiply
    8,680.16x = 11,978.63 × 4,701.29
  4. Step 4: Simplify right side
    8,680.16x = 56,314,947.66
  5. Step 5: Solve for x
    x = 56,314,947.66/8,680.16
  6. Step 6: Final answer
    x = 6,487.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.