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Finding the Fourth Proportional to 10,697.41, 16,045.02 and 3,677.56

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Solution

The fourth proportional to 10,697.41, 16,045.02 and 3,677.56 is: 5,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.41 : 16,045.02 = 3,677.56 : x
  2. Step 2: Convert to fraction form
    10,697.41/16,045.02 = 3,677.56/x
  3. Step 3: Cross multiply
    10,697.41x = 16,045.02 × 3,677.56
  4. Step 4: Simplify right side
    10,697.41x = 59,006,523.75
  5. Step 5: Solve for x
    x = 59,006,523.75/10,697.41
  6. Step 6: Final answer
    x = 5,515.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.