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Finding the Fourth Proportional to 10,770.42, 16,166.52 and 7,653.95

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Solution

The fourth proportional to 10,770.42, 16,166.52 and 7,653.95 is: 11,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.42 : 16,166.52 = 7,653.95 : x
  2. Step 2: Convert to fraction form
    10,770.42/16,166.52 = 7,653.95/x
  3. Step 3: Cross multiply
    10,770.42x = 16,166.52 × 7,653.95
  4. Step 4: Simplify right side
    10,770.42x = 123,737,654.92
  5. Step 5: Solve for x
    x = 123,737,654.92/10,770.42
  6. Step 6: Final answer
    x = 11,488.66

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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.