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Finding the Fourth Proportional to 8,414.82, 11,605.86 and 5,430.96

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Solution

The fourth proportional to 8,414.82, 11,605.86 and 5,430.96 is: 7,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.82 : 11,605.86 = 5,430.96 : x
  2. Step 2: Convert to fraction form
    8,414.82/11,605.86 = 5,430.96/x
  3. Step 3: Cross multiply
    8,414.82x = 11,605.86 × 5,430.96
  4. Step 4: Simplify right side
    8,414.82x = 63,030,961.43
  5. Step 5: Solve for x
    x = 63,030,961.43/8,414.82
  6. Step 6: Final answer
    x = 7,490.47

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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.