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Finding the Fourth Proportional to 12,815.56, 17,686.65 and 7,781.08

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Solution

The fourth proportional to 12,815.56, 17,686.65 and 7,781.08 is: 10,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.56 : 17,686.65 = 7,781.08 : x
  2. Step 2: Convert to fraction form
    12,815.56/17,686.65 = 7,781.08/x
  3. Step 3: Cross multiply
    12,815.56x = 17,686.65 × 7,781.08
  4. Step 4: Simplify right side
    12,815.56x = 137,621,238.58
  5. Step 5: Solve for x
    x = 137,621,238.58/12,815.56
  6. Step 6: Final answer
    x = 10,738.61

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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.