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Finding the Fourth Proportional to 6,231.95, 8,582.60 and 6,095.87

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Solution

The fourth proportional to 6,231.95, 8,582.60 and 6,095.87 is: 8,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.95 : 8,582.60 = 6,095.87 : x
  2. Step 2: Convert to fraction form
    6,231.95/8,582.60 = 6,095.87/x
  3. Step 3: Cross multiply
    6,231.95x = 8,582.60 × 6,095.87
  4. Step 4: Simplify right side
    6,231.95x = 52,318,383.38
  5. Step 5: Solve for x
    x = 52,318,383.38/6,231.95
  6. Step 6: Final answer
    x = 8,395.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.