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Finding the Fourth Proportional to 8,533.56, 12,800.40 and 2,610.57

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Solution

The fourth proportional to 8,533.56, 12,800.40 and 2,610.57 is: 3,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.56 : 12,800.40 = 2,610.57 : x
  2. Step 2: Convert to fraction form
    8,533.56/12,800.40 = 2,610.57/x
  3. Step 3: Cross multiply
    8,533.56x = 12,800.40 × 2,610.57
  4. Step 4: Simplify right side
    8,533.56x = 33,416,340.23
  5. Step 5: Solve for x
    x = 33,416,340.23/8,533.56
  6. Step 6: Final answer
    x = 3,915.87

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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.