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Finding the Fourth Proportional to 8,842.67, 12,205.05 and 5,305.13

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Solution

The fourth proportional to 8,842.67, 12,205.05 and 5,305.13 is: 7,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.67 : 12,205.05 = 5,305.13 : x
  2. Step 2: Convert to fraction form
    8,842.67/12,205.05 = 5,305.13/x
  3. Step 3: Cross multiply
    8,842.67x = 12,205.05 × 5,305.13
  4. Step 4: Simplify right side
    8,842.67x = 64,749,376.91
  5. Step 5: Solve for x
    x = 64,749,376.91/8,842.67
  6. Step 6: Final answer
    x = 7,322.38

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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.