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Finding the Fourth Proportional to 12,754.77, 17,601.47 and 7,089.38

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Solution

The fourth proportional to 12,754.77, 17,601.47 and 7,089.38 is: 9,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.77 : 17,601.47 = 7,089.38 : x
  2. Step 2: Convert to fraction form
    12,754.77/17,601.47 = 7,089.38/x
  3. Step 3: Cross multiply
    12,754.77x = 17,601.47 × 7,089.38
  4. Step 4: Simplify right side
    12,754.77x = 124,783,412.52
  5. Step 5: Solve for x
    x = 124,783,412.52/12,754.77
  6. Step 6: Final answer
    x = 9,783.27

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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.