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Finding the Fourth Proportional to 8,410.51, 12,592.68 and 6,846.85

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Solution

The fourth proportional to 8,410.51, 12,592.68 and 6,846.85 is: 10,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.51 : 12,592.68 = 6,846.85 : x
  2. Step 2: Convert to fraction form
    8,410.51/12,592.68 = 6,846.85/x
  3. Step 3: Cross multiply
    8,410.51x = 12,592.68 × 6,846.85
  4. Step 4: Simplify right side
    8,410.51x = 86,220,191.06
  5. Step 5: Solve for x
    x = 86,220,191.06/8,410.51
  6. Step 6: Final answer
    x = 10,251.48

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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.