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Finding the Fourth Proportional to 10,076.99, 13,869.54 and 8,874.10

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Solution

The fourth proportional to 10,076.99, 13,869.54 and 8,874.10 is: 12,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.99 : 13,869.54 = 8,874.10 : x
  2. Step 2: Convert to fraction form
    10,076.99/13,869.54 = 8,874.10/x
  3. Step 3: Cross multiply
    10,076.99x = 13,869.54 × 8,874.10
  4. Step 4: Simplify right side
    10,076.99x = 123,079,702.25
  5. Step 5: Solve for x
    x = 123,079,702.25/10,076.99
  6. Step 6: Final answer
    x = 12,213.94

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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.