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Finding the Fourth Proportional to 6,587.46, 9,882.41 and 2,085.65

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Solution

The fourth proportional to 6,587.46, 9,882.41 and 2,085.65 is: 3,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.46 : 9,882.41 = 2,085.65 : x
  2. Step 2: Convert to fraction form
    6,587.46/9,882.41 = 2,085.65/x
  3. Step 3: Cross multiply
    6,587.46x = 9,882.41 × 2,085.65
  4. Step 4: Simplify right side
    6,587.46x = 20,611,225.64
  5. Step 5: Solve for x
    x = 20,611,225.64/6,587.46
  6. Step 6: Final answer
    x = 3,128.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.