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Finding the Fourth Proportional to 11,618.10, 16,028.52 and 8,600.40

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Solution

The fourth proportional to 11,618.10, 16,028.52 and 8,600.40 is: 11,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.10 : 16,028.52 = 8,600.40 : x
  2. Step 2: Convert to fraction form
    11,618.10/16,028.52 = 8,600.40/x
  3. Step 3: Cross multiply
    11,618.10x = 16,028.52 × 8,600.40
  4. Step 4: Simplify right side
    11,618.10x = 137,851,683.41
  5. Step 5: Solve for x
    x = 137,851,683.41/11,618.10
  6. Step 6: Final answer
    x = 11,865.25

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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.