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Finding the Fourth Proportional to 8,172.13, 11,283.32 and 6,381.62

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Solution

The fourth proportional to 8,172.13, 11,283.32 and 6,381.62 is: 8,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.13 : 11,283.32 = 6,381.62 : x
  2. Step 2: Convert to fraction form
    8,172.13/11,283.32 = 6,381.62/x
  3. Step 3: Cross multiply
    8,172.13x = 11,283.32 × 6,381.62
  4. Step 4: Simplify right side
    8,172.13x = 72,005,904.74
  5. Step 5: Solve for x
    x = 72,005,904.74/8,172.13
  6. Step 6: Final answer
    x = 8,811.16

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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.