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Finding the Fourth Proportional to 8,739.90, 12,061.38 and 4,760.82

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Solution

The fourth proportional to 8,739.90, 12,061.38 and 4,760.82 is: 6,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.90 : 12,061.38 = 4,760.82 : x
  2. Step 2: Convert to fraction form
    8,739.90/12,061.38 = 4,760.82/x
  3. Step 3: Cross multiply
    8,739.90x = 12,061.38 × 4,760.82
  4. Step 4: Simplify right side
    8,739.90x = 57,422,059.13
  5. Step 5: Solve for x
    x = 57,422,059.13/8,739.90
  6. Step 6: Final answer
    x = 6,570.10

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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.