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Finding the Fourth Proportional to 6,189.78, 8,536.92 and 5,442.18

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Solution

The fourth proportional to 6,189.78, 8,536.92 and 5,442.18 is: 7,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.78 : 8,536.92 = 5,442.18 : x
  2. Step 2: Convert to fraction form
    6,189.78/8,536.92 = 5,442.18/x
  3. Step 3: Cross multiply
    6,189.78x = 8,536.92 × 5,442.18
  4. Step 4: Simplify right side
    6,189.78x = 46,459,455.29
  5. Step 5: Solve for x
    x = 46,459,455.29/6,189.78
  6. Step 6: Final answer
    x = 7,505.83

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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.