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Finding the Fourth Proportional to 12,778.04, 17,633.97 and 7,475.92

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Solution

The fourth proportional to 12,778.04, 17,633.97 and 7,475.92 is: 10,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.04 : 17,633.97 = 7,475.92 : x
  2. Step 2: Convert to fraction form
    12,778.04/17,633.97 = 7,475.92/x
  3. Step 3: Cross multiply
    12,778.04x = 17,633.97 × 7,475.92
  4. Step 4: Simplify right side
    12,778.04x = 131,830,104.92
  5. Step 5: Solve for x
    x = 131,830,104.92/12,778.04
  6. Step 6: Final answer
    x = 10,316.92

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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.