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Finding the Fourth Proportional to 7,852.78, 11,776.15 and 3,171.16

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Solution

The fourth proportional to 7,852.78, 11,776.15 and 3,171.16 is: 4,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.78 : 11,776.15 = 3,171.16 : x
  2. Step 2: Convert to fraction form
    7,852.78/11,776.15 = 3,171.16/x
  3. Step 3: Cross multiply
    7,852.78x = 11,776.15 × 3,171.16
  4. Step 4: Simplify right side
    7,852.78x = 37,344,055.83
  5. Step 5: Solve for x
    x = 37,344,055.83/7,852.78
  6. Step 6: Final answer
    x = 4,755.52

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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.