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Finding the Fourth Proportional to 12,587.80, 17,364.33 and 7,806.13

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Solution

The fourth proportional to 12,587.80, 17,364.33 and 7,806.13 is: 10,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.80 : 17,364.33 = 7,806.13 : x
  2. Step 2: Convert to fraction form
    12,587.80/17,364.33 = 7,806.13/x
  3. Step 3: Cross multiply
    12,587.80x = 17,364.33 × 7,806.13
  4. Step 4: Simplify right side
    12,587.80x = 135,548,217.34
  5. Step 5: Solve for x
    x = 135,548,217.34/12,587.80
  6. Step 6: Final answer
    x = 10,768.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.