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Finding the Fourth Proportional to 10,298.34, 14,212.28 and 5,822.28

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Solution

The fourth proportional to 10,298.34, 14,212.28 and 5,822.28 is: 8,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.34 : 14,212.28 = 5,822.28 : x
  2. Step 2: Convert to fraction form
    10,298.34/14,212.28 = 5,822.28/x
  3. Step 3: Cross multiply
    10,298.34x = 14,212.28 × 5,822.28
  4. Step 4: Simplify right side
    10,298.34x = 82,747,873.60
  5. Step 5: Solve for x
    x = 82,747,873.60/10,298.34
  6. Step 6: Final answer
    x = 8,035.07

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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.