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Finding the Fourth Proportional to 10,298.28, 14,210.49 and 5,822.03

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Solution

The fourth proportional to 10,298.28, 14,210.49 and 5,822.03 is: 8,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.28 : 14,210.49 = 5,822.03 : x
  2. Step 2: Convert to fraction form
    10,298.28/14,210.49 = 5,822.03/x
  3. Step 3: Cross multiply
    10,298.28x = 14,210.49 × 5,822.03
  4. Step 4: Simplify right side
    10,298.28x = 82,733,899.09
  5. Step 5: Solve for x
    x = 82,733,899.09/10,298.28
  6. Step 6: Final answer
    x = 8,033.76

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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.