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Finding the Fourth Proportional to 10,296.90, 14,210.46 and 5,821.02

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Solution

The fourth proportional to 10,296.90, 14,210.46 and 5,821.02 is: 8,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.90 : 14,210.46 = 5,821.02 : x
  2. Step 2: Convert to fraction form
    10,296.90/14,210.46 = 5,821.02/x
  3. Step 3: Cross multiply
    10,296.90x = 14,210.46 × 5,821.02
  4. Step 4: Simplify right side
    10,296.90x = 82,719,371.87
  5. Step 5: Solve for x
    x = 82,719,371.87/10,296.90
  6. Step 6: Final answer
    x = 8,033.42

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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.