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Finding the Fourth Proportional to 7,772.31, 11,663.33 and 3,155.31

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Solution

The fourth proportional to 7,772.31, 11,663.33 and 3,155.31 is: 4,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.31 : 11,663.33 = 3,155.31 : x
  2. Step 2: Convert to fraction form
    7,772.31/11,663.33 = 3,155.31/x
  3. Step 3: Cross multiply
    7,772.31x = 11,663.33 × 3,155.31
  4. Step 4: Simplify right side
    7,772.31x = 36,801,406.01
  5. Step 5: Solve for x
    x = 36,801,406.01/7,772.31
  6. Step 6: Final answer
    x = 4,734.94

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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.