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Finding the Fourth Proportional to 11,123.84, 16,686.80 and 4,103.57

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Solution

The fourth proportional to 11,123.84, 16,686.80 and 4,103.57 is: 6,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.84 : 16,686.80 = 4,103.57 : x
  2. Step 2: Convert to fraction form
    11,123.84/16,686.80 = 4,103.57/x
  3. Step 3: Cross multiply
    11,123.84x = 16,686.80 × 4,103.57
  4. Step 4: Simplify right side
    11,123.84x = 68,475,451.88
  5. Step 5: Solve for x
    x = 68,475,451.88/11,123.84
  6. Step 6: Final answer
    x = 6,155.74

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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.