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Finding the Fourth Proportional to 10,298.07, 14,212.07 and 5,822.24

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Solution

The fourth proportional to 10,298.07, 14,212.07 and 5,822.24 is: 8,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.07 : 14,212.07 = 5,822.24 : x
  2. Step 2: Convert to fraction form
    10,298.07/14,212.07 = 5,822.24/x
  3. Step 3: Cross multiply
    10,298.07x = 14,212.07 × 5,822.24
  4. Step 4: Simplify right side
    10,298.07x = 82,745,982.27
  5. Step 5: Solve for x
    x = 82,745,982.27/10,298.07
  6. Step 6: Final answer
    x = 8,035.10

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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.