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Finding the Fourth Proportional to 6,586.18, 9,866.48 and 5,885.12

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Solution

The fourth proportional to 6,586.18, 9,866.48 and 5,885.12 is: 8,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.18 : 9,866.48 = 5,885.12 : x
  2. Step 2: Convert to fraction form
    6,586.18/9,866.48 = 5,885.12/x
  3. Step 3: Cross multiply
    6,586.18x = 9,866.48 × 5,885.12
  4. Step 4: Simplify right side
    6,586.18x = 58,065,414.02
  5. Step 5: Solve for x
    x = 58,065,414.02/6,586.18
  6. Step 6: Final answer
    x = 8,816.25

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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.