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Finding the Fourth Proportional to 7,701.33, 10,627.86 and 4,164.56

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Solution

The fourth proportional to 7,701.33, 10,627.86 and 4,164.56 is: 5,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.33 : 10,627.86 = 4,164.56 : x
  2. Step 2: Convert to fraction form
    7,701.33/10,627.86 = 4,164.56/x
  3. Step 3: Cross multiply
    7,701.33x = 10,627.86 × 4,164.56
  4. Step 4: Simplify right side
    7,701.33x = 44,260,399.33
  5. Step 5: Solve for x
    x = 44,260,399.33/7,701.33
  6. Step 6: Final answer
    x = 5,747.11

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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.