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Finding the Fourth Proportional to 11,770.48, 17,647.32 and 5,527

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Solution

The fourth proportional to 11,770.48, 17,647.32 and 5,527 is: 8,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.48 : 17,647.32 = 5,527 : x
  2. Step 2: Convert to fraction form
    11,770.48/17,647.32 = 5,527/x
  3. Step 3: Cross multiply
    11,770.48x = 17,647.32 × 5,527
  4. Step 4: Simplify right side
    11,770.48x = 97,536,737.64
  5. Step 5: Solve for x
    x = 97,536,737.64/11,770.48
  6. Step 6: Final answer
    x = 8,286.56

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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.