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Finding the Fourth Proportional to 10,873.72, 16,313.10 and 3,853.36

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Solution

The fourth proportional to 10,873.72, 16,313.10 and 3,853.36 is: 5,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.72 : 16,313.10 = 3,853.36 : x
  2. Step 2: Convert to fraction form
    10,873.72/16,313.10 = 3,853.36/x
  3. Step 3: Cross multiply
    10,873.72x = 16,313.10 × 3,853.36
  4. Step 4: Simplify right side
    10,873.72x = 62,860,247.02
  5. Step 5: Solve for x
    x = 62,860,247.02/10,873.72
  6. Step 6: Final answer
    x = 5,780.93

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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.