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Finding the Fourth Proportional to 10,857.79, 16,291.88 and 6,117.73

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Solution

The fourth proportional to 10,857.79, 16,291.88 and 6,117.73 is: 9,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.79 : 16,291.88 = 6,117.73 : x
  2. Step 2: Convert to fraction form
    10,857.79/16,291.88 = 6,117.73/x
  3. Step 3: Cross multiply
    10,857.79x = 16,291.88 × 6,117.73
  4. Step 4: Simplify right side
    10,857.79x = 99,669,270.35
  5. Step 5: Solve for x
    x = 99,669,270.35/10,857.79
  6. Step 6: Final answer
    x = 9,179.52

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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.