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Finding the Fourth Proportional to 10,901.75, 16,358.53 and 8,441.38

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Solution

The fourth proportional to 10,901.75, 16,358.53 and 8,441.38 is: 12,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.75 : 16,358.53 = 8,441.38 : x
  2. Step 2: Convert to fraction form
    10,901.75/16,358.53 = 8,441.38/x
  3. Step 3: Cross multiply
    10,901.75x = 16,358.53 × 8,441.38
  4. Step 4: Simplify right side
    10,901.75x = 138,088,486.18
  5. Step 5: Solve for x
    x = 138,088,486.18/10,901.75
  6. Step 6: Final answer
    x = 12,666.63

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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.