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Finding the Fourth Proportional to 12,728.88, 17,565.96 and 7,064.01

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Solution

The fourth proportional to 12,728.88, 17,565.96 and 7,064.01 is: 9,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.88 : 17,565.96 = 7,064.01 : x
  2. Step 2: Convert to fraction form
    12,728.88/17,565.96 = 7,064.01/x
  3. Step 3: Cross multiply
    12,728.88x = 17,565.96 × 7,064.01
  4. Step 4: Simplify right side
    12,728.88x = 124,086,143.59
  5. Step 5: Solve for x
    x = 124,086,143.59/12,728.88
  6. Step 6: Final answer
    x = 9,748.39

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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.