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Finding the Fourth Proportional to 12,502.80, 17,253.27 and 6,837.66

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Solution

The fourth proportional to 12,502.80, 17,253.27 and 6,837.66 is: 9,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.80 : 17,253.27 = 6,837.66 : x
  2. Step 2: Convert to fraction form
    12,502.80/17,253.27 = 6,837.66/x
  3. Step 3: Cross multiply
    12,502.80x = 17,253.27 × 6,837.66
  4. Step 4: Simplify right side
    12,502.80x = 117,971,994.15
  5. Step 5: Solve for x
    x = 117,971,994.15/12,502.80
  6. Step 6: Final answer
    x = 9,435.65

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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.