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Finding the Fourth Proportional to 11,098.93, 16,648.40 and 8,140.56

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Solution

The fourth proportional to 11,098.93, 16,648.40 and 8,140.56 is: 12,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.93 : 16,648.40 = 8,140.56 : x
  2. Step 2: Convert to fraction form
    11,098.93/16,648.40 = 8,140.56/x
  3. Step 3: Cross multiply
    11,098.93x = 16,648.40 × 8,140.56
  4. Step 4: Simplify right side
    11,098.93x = 135,527,211.23
  5. Step 5: Solve for x
    x = 135,527,211.23/11,098.93
  6. Step 6: Final answer
    x = 12,210.84

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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.