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Finding the Fourth Proportional to 10,809.31, 16,213.97 and 8,347.72

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Solution

The fourth proportional to 10,809.31, 16,213.97 and 8,347.72 is: 12,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.31 : 16,213.97 = 8,347.72 : x
  2. Step 2: Convert to fraction form
    10,809.31/16,213.97 = 8,347.72/x
  3. Step 3: Cross multiply
    10,809.31x = 16,213.97 × 8,347.72
  4. Step 4: Simplify right side
    10,809.31x = 135,349,681.65
  5. Step 5: Solve for x
    x = 135,349,681.65/10,809.31
  6. Step 6: Final answer
    x = 12,521.58

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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.