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Finding the Fourth Proportional to 11,677.68, 16,113.78 and 6,642.54

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Solution

The fourth proportional to 11,677.68, 16,113.78 and 6,642.54 is: 9,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.68 : 16,113.78 = 6,642.54 : x
  2. Step 2: Convert to fraction form
    11,677.68/16,113.78 = 6,642.54/x
  3. Step 3: Cross multiply
    11,677.68x = 16,113.78 × 6,642.54
  4. Step 4: Simplify right side
    11,677.68x = 107,036,428.20
  5. Step 5: Solve for x
    x = 107,036,428.20/11,677.68
  6. Step 6: Final answer
    x = 9,165.90

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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.