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Finding the Fourth Proportional to 10,827.40, 16,205.10 and 7,857.40

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Solution

The fourth proportional to 10,827.40, 16,205.10 and 7,857.40 is: 11,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.40 : 16,205.10 = 7,857.40 : x
  2. Step 2: Convert to fraction form
    10,827.40/16,205.10 = 7,857.40/x
  3. Step 3: Cross multiply
    10,827.40x = 16,205.10 × 7,857.40
  4. Step 4: Simplify right side
    10,827.40x = 127,329,952.74
  5. Step 5: Solve for x
    x = 127,329,952.74/10,827.40
  6. Step 6: Final answer
    x = 11,759.97

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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.