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Finding the Fourth Proportional to 10,807.82, 16,199.27 and 4,952.13

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Solution

The fourth proportional to 10,807.82, 16,199.27 and 4,952.13 is: 7,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.82 : 16,199.27 = 4,952.13 : x
  2. Step 2: Convert to fraction form
    10,807.82/16,199.27 = 4,952.13/x
  3. Step 3: Cross multiply
    10,807.82x = 16,199.27 × 4,952.13
  4. Step 4: Simplify right side
    10,807.82x = 80,220,890.95
  5. Step 5: Solve for x
    x = 80,220,890.95/10,807.82
  6. Step 6: Final answer
    x = 7,422.49

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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.