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Finding the Fourth Proportional to 11,690.34, 16,133.61 and 6,654.78

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Solution

The fourth proportional to 11,690.34, 16,133.61 and 6,654.78 is: 9,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.34 : 16,133.61 = 6,654.78 : x
  2. Step 2: Convert to fraction form
    11,690.34/16,133.61 = 6,654.78/x
  3. Step 3: Cross multiply
    11,690.34x = 16,133.61 × 6,654.78
  4. Step 4: Simplify right side
    11,690.34x = 107,365,625.16
  5. Step 5: Solve for x
    x = 107,365,625.16/11,690.34
  6. Step 6: Final answer
    x = 9,184.13

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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.