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Finding the Fourth Proportional to 8,833.98, 12,187.40 and 5,692

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Solution

The fourth proportional to 8,833.98, 12,187.40 and 5,692 is: 7,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.98 : 12,187.40 = 5,692 : x
  2. Step 2: Convert to fraction form
    8,833.98/12,187.40 = 5,692/x
  3. Step 3: Cross multiply
    8,833.98x = 12,187.40 × 5,692
  4. Step 4: Simplify right side
    8,833.98x = 69,370,680.80
  5. Step 5: Solve for x
    x = 69,370,680.80/8,833.98
  6. Step 6: Final answer
    x = 7,852.71

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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.