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Finding the Fourth Proportional to 11,595.84, 16,002.14 and 6,290.61

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Solution

The fourth proportional to 11,595.84, 16,002.14 and 6,290.61 is: 8,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.84 : 16,002.14 = 6,290.61 : x
  2. Step 2: Convert to fraction form
    11,595.84/16,002.14 = 6,290.61/x
  3. Step 3: Cross multiply
    11,595.84x = 16,002.14 × 6,290.61
  4. Step 4: Simplify right side
    11,595.84x = 100,663,190.45
  5. Step 5: Solve for x
    x = 100,663,190.45/11,595.84
  6. Step 6: Final answer
    x = 8,680.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.