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Finding the Fourth Proportional to 8,691.75, 11,994.57 and 4,916.16

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Solution

The fourth proportional to 8,691.75, 11,994.57 and 4,916.16 is: 6,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.75 : 11,994.57 = 4,916.16 : x
  2. Step 2: Convert to fraction form
    8,691.75/11,994.57 = 4,916.16/x
  3. Step 3: Cross multiply
    8,691.75x = 11,994.57 × 4,916.16
  4. Step 4: Simplify right side
    8,691.75x = 58,967,225.25
  5. Step 5: Solve for x
    x = 58,967,225.25/8,691.75
  6. Step 6: Final answer
    x = 6,784.28

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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.