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Finding the Fourth Proportional to 7,772.48, 11,662.16 and 4,073.83

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Solution

The fourth proportional to 7,772.48, 11,662.16 and 4,073.83 is: 6,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.48 : 11,662.16 = 4,073.83 : x
  2. Step 2: Convert to fraction form
    7,772.48/11,662.16 = 4,073.83/x
  3. Step 3: Cross multiply
    7,772.48x = 11,662.16 × 4,073.83
  4. Step 4: Simplify right side
    7,772.48x = 47,509,667.46
  5. Step 5: Solve for x
    x = 47,509,667.46/7,772.48
  6. Step 6: Final answer
    x = 6,112.55

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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.