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Finding the Fourth Proportional to 8,894.75, 12,277.31 and 5,872.07

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Solution

The fourth proportional to 8,894.75, 12,277.31 and 5,872.07 is: 8,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.75 : 12,277.31 = 5,872.07 : x
  2. Step 2: Convert to fraction form
    8,894.75/12,277.31 = 5,872.07/x
  3. Step 3: Cross multiply
    8,894.75x = 12,277.31 × 5,872.07
  4. Step 4: Simplify right side
    8,894.75x = 72,093,225.06
  5. Step 5: Solve for x
    x = 72,093,225.06/8,894.75
  6. Step 6: Final answer
    x = 8,105.15

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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.