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Finding the Fourth Proportional to 10,801.74, 16,165.89 and 6,851.10

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Solution

The fourth proportional to 10,801.74, 16,165.89 and 6,851.10 is: 10,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.74 : 16,165.89 = 6,851.10 : x
  2. Step 2: Convert to fraction form
    10,801.74/16,165.89 = 6,851.10/x
  3. Step 3: Cross multiply
    10,801.74x = 16,165.89 × 6,851.10
  4. Step 4: Simplify right side
    10,801.74x = 110,754,128.98
  5. Step 5: Solve for x
    x = 110,754,128.98/10,801.74
  6. Step 6: Final answer
    x = 10,253.36

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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.