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Finding the Fourth Proportional to 6,586.88, 9,867.90 and 5,118.89

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Solution

The fourth proportional to 6,586.88, 9,867.90 and 5,118.89 is: 7,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.88 : 9,867.90 = 5,118.89 : x
  2. Step 2: Convert to fraction form
    6,586.88/9,867.90 = 5,118.89/x
  3. Step 3: Cross multiply
    6,586.88x = 9,867.90 × 5,118.89
  4. Step 4: Simplify right side
    6,586.88x = 50,512,694.63
  5. Step 5: Solve for x
    x = 50,512,694.63/6,586.88
  6. Step 6: Final answer
    x = 7,668.68

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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.