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Finding the Fourth Proportional to 10,770.24, 14,865.87 and 6,993.21

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Solution

The fourth proportional to 10,770.24, 14,865.87 and 6,993.21 is: 9,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.24 : 14,865.87 = 6,993.21 : x
  2. Step 2: Convert to fraction form
    10,770.24/14,865.87 = 6,993.21/x
  3. Step 3: Cross multiply
    10,770.24x = 14,865.87 × 6,993.21
  4. Step 4: Simplify right side
    10,770.24x = 103,960,150.74
  5. Step 5: Solve for x
    x = 103,960,150.74/10,770.24
  6. Step 6: Final answer
    x = 9,652.54

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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.