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Finding the Fourth Proportional to 10,775.53, 16,167.40 and 4,202.38

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Solution

The fourth proportional to 10,775.53, 16,167.40 and 4,202.38 is: 6,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.53 : 16,167.40 = 4,202.38 : x
  2. Step 2: Convert to fraction form
    10,775.53/16,167.40 = 4,202.38/x
  3. Step 3: Cross multiply
    10,775.53x = 16,167.40 × 4,202.38
  4. Step 4: Simplify right side
    10,775.53x = 67,941,568.12
  5. Step 5: Solve for x
    x = 67,941,568.12/10,775.53
  6. Step 6: Final answer
    x = 6,305.17

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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.