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Finding the Fourth Proportional to 6,586.88, 9,885.47 and 3,260.21

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Solution

The fourth proportional to 6,586.88, 9,885.47 and 3,260.21 is: 4,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.88 : 9,885.47 = 3,260.21 : x
  2. Step 2: Convert to fraction form
    6,586.88/9,885.47 = 3,260.21/x
  3. Step 3: Cross multiply
    6,586.88x = 9,885.47 × 3,260.21
  4. Step 4: Simplify right side
    6,586.88x = 32,228,642.42
  5. Step 5: Solve for x
    x = 32,228,642.42/6,586.88
  6. Step 6: Final answer
    x = 4,892.86

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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.