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Finding the Fourth Proportional to 8,406.76, 12,610.68 and 2,858.56

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Solution

The fourth proportional to 8,406.76, 12,610.68 and 2,858.56 is: 4,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.76 : 12,610.68 = 2,858.56 : x
  2. Step 2: Convert to fraction form
    8,406.76/12,610.68 = 2,858.56/x
  3. Step 3: Cross multiply
    8,406.76x = 12,610.68 × 2,858.56
  4. Step 4: Simplify right side
    8,406.76x = 36,048,385.42
  5. Step 5: Solve for x
    x = 36,048,385.42/8,406.76
  6. Step 6: Final answer
    x = 4,288.02

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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.