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Finding the Fourth Proportional to 10,904.65, 16,335.67 and 5,197.49

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Solution

The fourth proportional to 10,904.65, 16,335.67 and 5,197.49 is: 7,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.65 : 16,335.67 = 5,197.49 : x
  2. Step 2: Convert to fraction form
    10,904.65/16,335.67 = 5,197.49/x
  3. Step 3: Cross multiply
    10,904.65x = 16,335.67 × 5,197.49
  4. Step 4: Simplify right side
    10,904.65x = 84,904,494.46
  5. Step 5: Solve for x
    x = 84,904,494.46/10,904.65
  6. Step 6: Final answer
    x = 7,786.08

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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.