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Finding the Fourth Proportional to 11,595.38, 16,001.70 and 6,290.42

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Solution

The fourth proportional to 11,595.38, 16,001.70 and 6,290.42 is: 8,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.38 : 16,001.70 = 6,290.42 : x
  2. Step 2: Convert to fraction form
    11,595.38/16,001.70 = 6,290.42/x
  3. Step 3: Cross multiply
    11,595.38x = 16,001.70 × 6,290.42
  4. Step 4: Simplify right side
    11,595.38x = 100,657,413.71
  5. Step 5: Solve for x
    x = 100,657,413.71/11,595.38
  6. Step 6: Final answer
    x = 8,680.82

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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.