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Finding the Fourth Proportional to 10,164.88, 14,028.24 and 5,689

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Solution

The fourth proportional to 10,164.88, 14,028.24 and 5,689 is: 7,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.88 : 14,028.24 = 5,689 : x
  2. Step 2: Convert to fraction form
    10,164.88/14,028.24 = 5,689/x
  3. Step 3: Cross multiply
    10,164.88x = 14,028.24 × 5,689
  4. Step 4: Simplify right side
    10,164.88x = 79,806,657.36
  5. Step 5: Solve for x
    x = 79,806,657.36/10,164.88
  6. Step 6: Final answer
    x = 7,851.21

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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.