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Finding the Fourth Proportional to 8,024.60, 11,076.98 and 7,183.78

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Solution

The fourth proportional to 8,024.60, 11,076.98 and 7,183.78 is: 9,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.60 : 11,076.98 = 7,183.78 : x
  2. Step 2: Convert to fraction form
    8,024.60/11,076.98 = 7,183.78/x
  3. Step 3: Cross multiply
    8,024.60x = 11,076.98 × 7,183.78
  4. Step 4: Simplify right side
    8,024.60x = 79,574,587.38
  5. Step 5: Solve for x
    x = 79,574,587.38/8,024.60
  6. Step 6: Final answer
    x = 9,916.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.