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Finding the Fourth Proportional to 12,811.85, 17,680.38 and 7,146.46

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Solution

The fourth proportional to 12,811.85, 17,680.38 and 7,146.46 is: 9,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.85 : 17,680.38 = 7,146.46 : x
  2. Step 2: Convert to fraction form
    12,811.85/17,680.38 = 7,146.46/x
  3. Step 3: Cross multiply
    12,811.85x = 17,680.38 × 7,146.46
  4. Step 4: Simplify right side
    12,811.85x = 126,352,111.05
  5. Step 5: Solve for x
    x = 126,352,111.05/12,811.85
  6. Step 6: Final answer
    x = 9,862.13

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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.