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Finding the Fourth Proportional to 10,776.26, 16,167.78 and 6,851.99

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Solution

The fourth proportional to 10,776.26, 16,167.78 and 6,851.99 is: 10,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.26 : 16,167.78 = 6,851.99 : x
  2. Step 2: Convert to fraction form
    10,776.26/16,167.78 = 6,851.99/x
  3. Step 3: Cross multiply
    10,776.26x = 16,167.78 × 6,851.99
  4. Step 4: Simplify right side
    10,776.26x = 110,781,386.04
  5. Step 5: Solve for x
    x = 110,781,386.04/10,776.26
  6. Step 6: Final answer
    x = 10,280.14

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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.