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Finding the Fourth Proportional to 11,908.11, 16,432.99 and 6,602.80

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Solution

The fourth proportional to 11,908.11, 16,432.99 and 6,602.80 is: 9,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.11 : 16,432.99 = 6,602.80 : x
  2. Step 2: Convert to fraction form
    11,908.11/16,432.99 = 6,602.80/x
  3. Step 3: Cross multiply
    11,908.11x = 16,432.99 × 6,602.80
  4. Step 4: Simplify right side
    11,908.11x = 108,503,746.37
  5. Step 5: Solve for x
    x = 108,503,746.37/11,908.11
  6. Step 6: Final answer
    x = 9,111.75

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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.