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Finding the Fourth Proportional to 8,740.91, 12,062.51 and 4,964.09

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Solution

The fourth proportional to 8,740.91, 12,062.51 and 4,964.09 is: 6,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.91 : 12,062.51 = 4,964.09 : x
  2. Step 2: Convert to fraction form
    8,740.91/12,062.51 = 4,964.09/x
  3. Step 3: Cross multiply
    8,740.91x = 12,062.51 × 4,964.09
  4. Step 4: Simplify right side
    8,740.91x = 59,879,300.13
  5. Step 5: Solve for x
    x = 59,879,300.13/8,740.91
  6. Step 6: Final answer
    x = 6,850.47

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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.