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Finding the Fourth Proportional to 10,298.80, 14,211.41 and 5,822.94

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Solution

The fourth proportional to 10,298.80, 14,211.41 and 5,822.94 is: 8,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.80 : 14,211.41 = 5,822.94 : x
  2. Step 2: Convert to fraction form
    10,298.80/14,211.41 = 5,822.94/x
  3. Step 3: Cross multiply
    10,298.80x = 14,211.41 × 5,822.94
  4. Step 4: Simplify right side
    10,298.80x = 82,752,187.75
  5. Step 5: Solve for x
    x = 82,752,187.75/10,298.80
  6. Step 6: Final answer
    x = 8,035.13

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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.