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Finding the Fourth Proportional to 10,983.34, 15,083.89 and 9,211.87

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Solution

The fourth proportional to 10,983.34, 15,083.89 and 9,211.87 is: 12,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.34 : 15,083.89 = 9,211.87 : x
  2. Step 2: Convert to fraction form
    10,983.34/15,083.89 = 9,211.87/x
  3. Step 3: Cross multiply
    10,983.34x = 15,083.89 × 9,211.87
  4. Step 4: Simplify right side
    10,983.34x = 138,950,758.35
  5. Step 5: Solve for x
    x = 138,950,758.35/10,983.34
  6. Step 6: Final answer
    x = 12,651.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.