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Finding the Fourth Proportional to 10,801.50, 16,165.65 and 6,644.14

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Solution

The fourth proportional to 10,801.50, 16,165.65 and 6,644.14 is: 9,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.50 : 16,165.65 = 6,644.14 : x
  2. Step 2: Convert to fraction form
    10,801.50/16,165.65 = 6,644.14/x
  3. Step 3: Cross multiply
    10,801.50x = 16,165.65 × 6,644.14
  4. Step 4: Simplify right side
    10,801.50x = 107,406,826.29
  5. Step 5: Solve for x
    x = 107,406,826.29/10,801.50
  6. Step 6: Final answer
    x = 9,943.70

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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.