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Finding the Fourth Proportional to 8,666.96, 13,001.36 and 2,822.81

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Solution

The fourth proportional to 8,666.96, 13,001.36 and 2,822.81 is: 4,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.96 : 13,001.36 = 2,822.81 : x
  2. Step 2: Convert to fraction form
    8,666.96/13,001.36 = 2,822.81/x
  3. Step 3: Cross multiply
    8,666.96x = 13,001.36 × 2,822.81
  4. Step 4: Simplify right side
    8,666.96x = 36,700,369.02
  5. Step 5: Solve for x
    x = 36,700,369.02/8,666.96
  6. Step 6: Final answer
    x = 4,234.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.