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Finding the Fourth Proportional to 8,381.15, 11,563.69 and 5,398.70

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Solution

The fourth proportional to 8,381.15, 11,563.69 and 5,398.70 is: 7,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.15 : 11,563.69 = 5,398.70 : x
  2. Step 2: Convert to fraction form
    8,381.15/11,563.69 = 5,398.70/x
  3. Step 3: Cross multiply
    8,381.15x = 11,563.69 × 5,398.70
  4. Step 4: Simplify right side
    8,381.15x = 62,428,881.87
  5. Step 5: Solve for x
    x = 62,428,881.87/8,381.15
  6. Step 6: Final answer
    x = 7,448.73

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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.