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Finding the Fourth Proportional to 11,690.11, 16,132.53 and 6,385.42

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Solution

The fourth proportional to 11,690.11, 16,132.53 and 6,385.42 is: 8,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.11 : 16,132.53 = 6,385.42 : x
  2. Step 2: Convert to fraction form
    11,690.11/16,132.53 = 6,385.42/x
  3. Step 3: Cross multiply
    11,690.11x = 16,132.53 × 6,385.42
  4. Step 4: Simplify right side
    11,690.11x = 103,012,979.71
  5. Step 5: Solve for x
    x = 103,012,979.71/11,690.11
  6. Step 6: Final answer
    x = 8,811.98

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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.