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Finding the Fourth Proportional to 10,770.82, 14,865.06 and 6,055

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Solution

The fourth proportional to 10,770.82, 14,865.06 and 6,055 is: 8,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.82 : 14,865.06 = 6,055 : x
  2. Step 2: Convert to fraction form
    10,770.82/14,865.06 = 6,055/x
  3. Step 3: Cross multiply
    10,770.82x = 14,865.06 × 6,055
  4. Step 4: Simplify right side
    10,770.82x = 90,007,938.30
  5. Step 5: Solve for x
    x = 90,007,938.30/10,770.82
  6. Step 6: Final answer
    x = 8,356.65

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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.