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Finding the Fourth Proportional to 8,381.64, 11,581.26 and 6,888.42

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Solution

The fourth proportional to 8,381.64, 11,581.26 and 6,888.42 is: 9,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.64 : 11,581.26 = 6,888.42 : x
  2. Step 2: Convert to fraction form
    8,381.64/11,581.26 = 6,888.42/x
  3. Step 3: Cross multiply
    8,381.64x = 11,581.26 × 6,888.42
  4. Step 4: Simplify right side
    8,381.64x = 79,776,583.01
  5. Step 5: Solve for x
    x = 79,776,583.01/8,381.64
  6. Step 6: Final answer
    x = 9,518.02

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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.