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Finding the Fourth Proportional to 11,783.13, 16,259.94 and 6,747.39

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Solution

The fourth proportional to 11,783.13, 16,259.94 and 6,747.39 is: 9,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.13 : 16,259.94 = 6,747.39 : x
  2. Step 2: Convert to fraction form
    11,783.13/16,259.94 = 6,747.39/x
  3. Step 3: Cross multiply
    11,783.13x = 16,259.94 × 6,747.39
  4. Step 4: Simplify right side
    11,783.13x = 109,712,156.56
  5. Step 5: Solve for x
    x = 109,712,156.56/11,783.13
  6. Step 6: Final answer
    x = 9,310.95

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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.