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Finding the Fourth Proportional to 10,890.70, 16,341.53 and 8,122.93

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Solution

The fourth proportional to 10,890.70, 16,341.53 and 8,122.93 is: 12,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.70 : 16,341.53 = 8,122.93 : x
  2. Step 2: Convert to fraction form
    10,890.70/16,341.53 = 8,122.93/x
  3. Step 3: Cross multiply
    10,890.70x = 16,341.53 × 8,122.93
  4. Step 4: Simplify right side
    10,890.70x = 132,741,022.81
  5. Step 5: Solve for x
    x = 132,741,022.81/10,890.70
  6. Step 6: Final answer
    x = 12,188.48

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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.