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Finding the Fourth Proportional to 10,868.58, 16,300.44 and 5,022

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Solution

The fourth proportional to 10,868.58, 16,300.44 and 5,022 is: 7,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.58 : 16,300.44 = 5,022 : x
  2. Step 2: Convert to fraction form
    10,868.58/16,300.44 = 5,022/x
  3. Step 3: Cross multiply
    10,868.58x = 16,300.44 × 5,022
  4. Step 4: Simplify right side
    10,868.58x = 81,860,809.68
  5. Step 5: Solve for x
    x = 81,860,809.68/10,868.58
  6. Step 6: Final answer
    x = 7,531.88

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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.