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Finding the Fourth Proportional to 10,770.40, 16,092.96 and 7,794.72

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Solution

The fourth proportional to 10,770.40, 16,092.96 and 7,794.72 is: 11,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.40 : 16,092.96 = 7,794.72 : x
  2. Step 2: Convert to fraction form
    10,770.40/16,092.96 = 7,794.72/x
  3. Step 3: Cross multiply
    10,770.40x = 16,092.96 × 7,794.72
  4. Step 4: Simplify right side
    10,770.40x = 125,440,117.17
  5. Step 5: Solve for x
    x = 125,440,117.17/10,770.40
  6. Step 6: Final answer
    x = 11,646.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.