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Finding the Fourth Proportional to 8,820.34, 13,231.74 and 2,580.80

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Solution

The fourth proportional to 8,820.34, 13,231.74 and 2,580.80 is: 3,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.34 : 13,231.74 = 2,580.80 : x
  2. Step 2: Convert to fraction form
    8,820.34/13,231.74 = 2,580.80/x
  3. Step 3: Cross multiply
    8,820.34x = 13,231.74 × 2,580.80
  4. Step 4: Simplify right side
    8,820.34x = 34,148,474.59
  5. Step 5: Solve for x
    x = 34,148,474.59/8,820.34
  6. Step 6: Final answer
    x = 3,871.56

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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.