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Finding the Fourth Proportional to 11,165.40, 16,813.43 and 8,264.12

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Solution

The fourth proportional to 11,165.40, 16,813.43 and 8,264.12 is: 12,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.40 : 16,813.43 = 8,264.12 : x
  2. Step 2: Convert to fraction form
    11,165.40/16,813.43 = 8,264.12/x
  3. Step 3: Cross multiply
    11,165.40x = 16,813.43 × 8,264.12
  4. Step 4: Simplify right side
    11,165.40x = 138,948,203.13
  5. Step 5: Solve for x
    x = 138,948,203.13/11,165.40
  6. Step 6: Final answer
    x = 12,444.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.