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Finding the Fourth Proportional to 8,271.04, 12,408.48 and 3,657.28

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Solution

The fourth proportional to 8,271.04, 12,408.48 and 3,657.28 is: 5,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.04 : 12,408.48 = 3,657.28 : x
  2. Step 2: Convert to fraction form
    8,271.04/12,408.48 = 3,657.28/x
  3. Step 3: Cross multiply
    8,271.04x = 12,408.48 × 3,657.28
  4. Step 4: Simplify right side
    8,271.04x = 45,381,285.73
  5. Step 5: Solve for x
    x = 45,381,285.73/8,271.04
  6. Step 6: Final answer
    x = 5,486.77

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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.