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Finding the Fourth Proportional to 8,301.64, 12,444.06 and 5,381.80

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Solution

The fourth proportional to 8,301.64, 12,444.06 and 5,381.80 is: 8,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.64 : 12,444.06 = 5,381.80 : x
  2. Step 2: Convert to fraction form
    8,301.64/12,444.06 = 5,381.80/x
  3. Step 3: Cross multiply
    8,301.64x = 12,444.06 × 5,381.80
  4. Step 4: Simplify right side
    8,301.64x = 66,971,442.11
  5. Step 5: Solve for x
    x = 66,971,442.11/8,301.64
  6. Step 6: Final answer
    x = 8,067.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.