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Finding the Fourth Proportional to 10,165.72, 14,028.95 and 5,689.44

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Solution

The fourth proportional to 10,165.72, 14,028.95 and 5,689.44 is: 7,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.72 : 14,028.95 = 5,689.44 : x
  2. Step 2: Convert to fraction form
    10,165.72/14,028.95 = 5,689.44/x
  3. Step 3: Cross multiply
    10,165.72x = 14,028.95 × 5,689.44
  4. Step 4: Simplify right side
    10,165.72x = 79,816,869.29
  5. Step 5: Solve for x
    x = 79,816,869.29/10,165.72
  6. Step 6: Final answer
    x = 7,851.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.