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Finding the Fourth Proportional to 8,407.25, 11,589.56 and 5,381.94

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Solution

The fourth proportional to 8,407.25, 11,589.56 and 5,381.94 is: 7,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.25 : 11,589.56 = 5,381.94 : x
  2. Step 2: Convert to fraction form
    8,407.25/11,589.56 = 5,381.94/x
  3. Step 3: Cross multiply
    8,407.25x = 11,589.56 × 5,381.94
  4. Step 4: Simplify right side
    8,407.25x = 62,374,298.86
  5. Step 5: Solve for x
    x = 62,374,298.86/8,407.25
  6. Step 6: Final answer
    x = 7,419.11

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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.