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Finding the Fourth Proportional to 8,842.81, 12,203.09 and 4,864.20

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Solution

The fourth proportional to 8,842.81, 12,203.09 and 4,864.20 is: 6,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.81 : 12,203.09 = 4,864.20 : x
  2. Step 2: Convert to fraction form
    8,842.81/12,203.09 = 4,864.20/x
  3. Step 3: Cross multiply
    8,842.81x = 12,203.09 × 4,864.20
  4. Step 4: Simplify right side
    8,842.81x = 59,358,270.38
  5. Step 5: Solve for x
    x = 59,358,270.38/8,842.81
  6. Step 6: Final answer
    x = 6,712.60

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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.