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Finding the Fourth Proportional to 8,135.73, 11,229.21 and 5,298.21

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Solution

The fourth proportional to 8,135.73, 11,229.21 and 5,298.21 is: 7,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.73 : 11,229.21 = 5,298.21 : x
  2. Step 2: Convert to fraction form
    8,135.73/11,229.21 = 5,298.21/x
  3. Step 3: Cross multiply
    8,135.73x = 11,229.21 × 5,298.21
  4. Step 4: Simplify right side
    8,135.73x = 59,494,712.71
  5. Step 5: Solve for x
    x = 59,494,712.71/8,135.73
  6. Step 6: Final answer
    x = 7,312.77

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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.