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Finding the Fourth Proportional to 10,857.03, 16,284.69 and 5,013.69

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Solution

The fourth proportional to 10,857.03, 16,284.69 and 5,013.69 is: 7,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.03 : 16,284.69 = 5,013.69 : x
  2. Step 2: Convert to fraction form
    10,857.03/16,284.69 = 5,013.69/x
  3. Step 3: Cross multiply
    10,857.03x = 16,284.69 × 5,013.69
  4. Step 4: Simplify right side
    10,857.03x = 81,646,387.41
  5. Step 5: Solve for x
    x = 81,646,387.41/10,857.03
  6. Step 6: Final answer
    x = 7,520.14

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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.