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Finding the Fourth Proportional to 8,117.96, 12,177.78 and 2,572.06

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Solution

The fourth proportional to 8,117.96, 12,177.78 and 2,572.06 is: 3,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.96 : 12,177.78 = 2,572.06 : x
  2. Step 2: Convert to fraction form
    8,117.96/12,177.78 = 2,572.06/x
  3. Step 3: Cross multiply
    8,117.96x = 12,177.78 × 2,572.06
  4. Step 4: Simplify right side
    8,117.96x = 31,321,980.83
  5. Step 5: Solve for x
    x = 31,321,980.83/8,117.96
  6. Step 6: Final answer
    x = 3,858.36

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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.