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Finding the Fourth Proportional to 6,586.16, 9,879.08 and 2,690.60

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Solution

The fourth proportional to 6,586.16, 9,879.08 and 2,690.60 is: 4,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.16 : 9,879.08 = 2,690.60 : x
  2. Step 2: Convert to fraction form
    6,586.16/9,879.08 = 2,690.60/x
  3. Step 3: Cross multiply
    6,586.16x = 9,879.08 × 2,690.60
  4. Step 4: Simplify right side
    6,586.16x = 26,580,652.65
  5. Step 5: Solve for x
    x = 26,580,652.65/6,586.16
  6. Step 6: Final answer
    x = 4,035.83

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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.