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Finding the Fourth Proportional to 11,123.43, 16,678.81 and 5,852.86

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Solution

The fourth proportional to 11,123.43, 16,678.81 and 5,852.86 is: 8,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.43 : 16,678.81 = 5,852.86 : x
  2. Step 2: Convert to fraction form
    11,123.43/16,678.81 = 5,852.86/x
  3. Step 3: Cross multiply
    11,123.43x = 16,678.81 × 5,852.86
  4. Step 4: Simplify right side
    11,123.43x = 97,618,705.52
  5. Step 5: Solve for x
    x = 97,618,705.52/11,123.43
  6. Step 6: Final answer
    x = 8,775.96

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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.