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Finding the Fourth Proportional to 10,786.34, 16,177.08 and 4,209.14

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Solution

The fourth proportional to 10,786.34, 16,177.08 and 4,209.14 is: 6,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.34 : 16,177.08 = 4,209.14 : x
  2. Step 2: Convert to fraction form
    10,786.34/16,177.08 = 4,209.14/x
  3. Step 3: Cross multiply
    10,786.34x = 16,177.08 × 4,209.14
  4. Step 4: Simplify right side
    10,786.34x = 68,091,594.51
  5. Step 5: Solve for x
    x = 68,091,594.51/10,786.34
  6. Step 6: Final answer
    x = 6,312.76

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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.