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Finding the Fourth Proportional to 12,727.34, 17,565.84 and 7,063.91

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Solution

The fourth proportional to 12,727.34, 17,565.84 and 7,063.91 is: 9,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.34 : 17,565.84 = 7,063.91 : x
  2. Step 2: Convert to fraction form
    12,727.34/17,565.84 = 7,063.91/x
  3. Step 3: Cross multiply
    12,727.34x = 17,565.84 × 7,063.91
  4. Step 4: Simplify right side
    12,727.34x = 124,083,389.69
  5. Step 5: Solve for x
    x = 124,083,389.69/12,727.34
  6. Step 6: Final answer
    x = 9,749.36

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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.