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Finding the Fourth Proportional to 10,823.83, 16,235.74 and 7,149.21

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Solution

The fourth proportional to 10,823.83, 16,235.74 and 7,149.21 is: 10,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.83 : 16,235.74 = 7,149.21 : x
  2. Step 2: Convert to fraction form
    10,823.83/16,235.74 = 7,149.21/x
  3. Step 3: Cross multiply
    10,823.83x = 16,235.74 × 7,149.21
  4. Step 4: Simplify right side
    10,823.83x = 116,072,754.14
  5. Step 5: Solve for x
    x = 116,072,754.14/10,823.83
  6. Step 6: Final answer
    x = 10,723.82

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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.