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Finding the Fourth Proportional to 10,857.12, 16,286.04 and 3,065.88

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Solution

The fourth proportional to 10,857.12, 16,286.04 and 3,065.88 is: 4,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.12 : 16,286.04 = 3,065.88 : x
  2. Step 2: Convert to fraction form
    10,857.12/16,286.04 = 3,065.88/x
  3. Step 3: Cross multiply
    10,857.12x = 16,286.04 × 3,065.88
  4. Step 4: Simplify right side
    10,857.12x = 49,931,044.32
  5. Step 5: Solve for x
    x = 49,931,044.32/10,857.12
  6. Step 6: Final answer
    x = 4,598.92

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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.