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Finding the Fourth Proportional to 8,222.48, 11,376.54 and 7,177.58

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Solution

The fourth proportional to 8,222.48, 11,376.54 and 7,177.58 is: 9,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.48 : 11,376.54 = 7,177.58 : x
  2. Step 2: Convert to fraction form
    8,222.48/11,376.54 = 7,177.58/x
  3. Step 3: Cross multiply
    8,222.48x = 11,376.54 × 7,177.58
  4. Step 4: Simplify right side
    8,222.48x = 81,655,969.09
  5. Step 5: Solve for x
    x = 81,655,969.09/8,222.48
  6. Step 6: Final answer
    x = 9,930.83

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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.