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Finding the Fourth Proportional to 8,211.80, 12,313.29 and 2,588.42

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Solution

The fourth proportional to 8,211.80, 12,313.29 and 2,588.42 is: 3,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.80 : 12,313.29 = 2,588.42 : x
  2. Step 2: Convert to fraction form
    8,211.80/12,313.29 = 2,588.42/x
  3. Step 3: Cross multiply
    8,211.80x = 12,313.29 × 2,588.42
  4. Step 4: Simplify right side
    8,211.80x = 31,871,904.54
  5. Step 5: Solve for x
    x = 31,871,904.54/8,211.80
  6. Step 6: Final answer
    x = 3,881.23

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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.