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Finding the Fourth Proportional to 8,364.42, 11,539.13 and 5,379.17

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Solution

The fourth proportional to 8,364.42, 11,539.13 and 5,379.17 is: 7,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.42 : 11,539.13 = 5,379.17 : x
  2. Step 2: Convert to fraction form
    8,364.42/11,539.13 = 5,379.17/x
  3. Step 3: Cross multiply
    8,364.42x = 11,539.13 × 5,379.17
  4. Step 4: Simplify right side
    8,364.42x = 62,070,857.33
  5. Step 5: Solve for x
    x = 62,070,857.33/8,364.42
  6. Step 6: Final answer
    x = 7,420.82

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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.