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Finding the Fourth Proportional to 8,123.76, 12,186.18 and 2,201.58

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Solution

The fourth proportional to 8,123.76, 12,186.18 and 2,201.58 is: 3,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.76 : 12,186.18 = 2,201.58 : x
  2. Step 2: Convert to fraction form
    8,123.76/12,186.18 = 2,201.58/x
  3. Step 3: Cross multiply
    8,123.76x = 12,186.18 × 2,201.58
  4. Step 4: Simplify right side
    8,123.76x = 26,828,850.16
  5. Step 5: Solve for x
    x = 26,828,850.16/8,123.76
  6. Step 6: Final answer
    x = 3,302.52

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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.