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Finding the Fourth Proportional to 8,736.32, 12,053.38 and 4,959.20

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Solution

The fourth proportional to 8,736.32, 12,053.38 and 4,959.20 is: 6,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.32 : 12,053.38 = 4,959.20 : x
  2. Step 2: Convert to fraction form
    8,736.32/12,053.38 = 4,959.20/x
  3. Step 3: Cross multiply
    8,736.32x = 12,053.38 × 4,959.20
  4. Step 4: Simplify right side
    8,736.32x = 59,775,122.10
  5. Step 5: Solve for x
    x = 59,775,122.10/8,736.32
  6. Step 6: Final answer
    x = 6,842.14

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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.