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Finding the Fourth Proportional to 10,165.49, 14,028.03 and 5,689.13

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Solution

The fourth proportional to 10,165.49, 14,028.03 and 5,689.13 is: 7,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.49 : 14,028.03 = 5,689.13 : x
  2. Step 2: Convert to fraction form
    10,165.49/14,028.03 = 5,689.13/x
  3. Step 3: Cross multiply
    10,165.49x = 14,028.03 × 5,689.13
  4. Step 4: Simplify right side
    10,165.49x = 79,807,216.17
  5. Step 5: Solve for x
    x = 79,807,216.17/10,165.49
  6. Step 6: Final answer
    x = 7,850.80

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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.