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Finding the Fourth Proportional to 8,378.06, 11,560.90 and 4,841.20

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Solution

The fourth proportional to 8,378.06, 11,560.90 and 4,841.20 is: 6,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.06 : 11,560.90 = 4,841.20 : x
  2. Step 2: Convert to fraction form
    8,378.06/11,560.90 = 4,841.20/x
  3. Step 3: Cross multiply
    8,378.06x = 11,560.90 × 4,841.20
  4. Step 4: Simplify right side
    8,378.06x = 55,968,629.08
  5. Step 5: Solve for x
    x = 55,968,629.08/8,378.06
  6. Step 6: Final answer
    x = 6,680.38

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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.