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Finding the Fourth Proportional to 6,115.86, 8,437.61 and 3,461.28

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Solution

The fourth proportional to 6,115.86, 8,437.61 and 3,461.28 is: 4,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.86 : 8,437.61 = 3,461.28 : x
  2. Step 2: Convert to fraction form
    6,115.86/8,437.61 = 3,461.28/x
  3. Step 3: Cross multiply
    6,115.86x = 8,437.61 × 3,461.28
  4. Step 4: Simplify right side
    6,115.86x = 29,204,913.43
  5. Step 5: Solve for x
    x = 29,204,913.43/6,115.86
  6. Step 6: Final answer
    x = 4,775.28

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