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Finding the Fourth Proportional to 11,617.75, 16,032.57 and 6,312.57

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Solution

The fourth proportional to 11,617.75, 16,032.57 and 6,312.57 is: 8,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.75 : 16,032.57 = 6,312.57 : x
  2. Step 2: Convert to fraction form
    11,617.75/16,032.57 = 6,312.57/x
  3. Step 3: Cross multiply
    11,617.75x = 16,032.57 × 6,312.57
  4. Step 4: Simplify right side
    11,617.75x = 101,206,720.40
  5. Step 5: Solve for x
    x = 101,206,720.40/11,617.75
  6. Step 6: Final answer
    x = 8,711.39

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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.