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Finding the Fourth Proportional to 12,109.78, 16,712.13 and 7,393.78

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Solution

The fourth proportional to 12,109.78, 16,712.13 and 7,393.78 is: 10,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.78 : 16,712.13 = 7,393.78 : x
  2. Step 2: Convert to fraction form
    12,109.78/16,712.13 = 7,393.78/x
  3. Step 3: Cross multiply
    12,109.78x = 16,712.13 × 7,393.78
  4. Step 4: Simplify right side
    12,109.78x = 123,565,812.55
  5. Step 5: Solve for x
    x = 123,565,812.55/12,109.78
  6. Step 6: Final answer
    x = 10,203.80

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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.