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Finding the Fourth Proportional to 10,350.88, 14,284.50 and 5,874.82

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Solution

The fourth proportional to 10,350.88, 14,284.50 and 5,874.82 is: 8,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.88 : 14,284.50 = 5,874.82 : x
  2. Step 2: Convert to fraction form
    10,350.88/14,284.50 = 5,874.82/x
  3. Step 3: Cross multiply
    10,350.88x = 14,284.50 × 5,874.82
  4. Step 4: Simplify right side
    10,350.88x = 83,918,866.29
  5. Step 5: Solve for x
    x = 83,918,866.29/10,350.88
  6. Step 6: Final answer
    x = 8,107.41

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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.