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Finding the Fourth Proportional to 8,278.61, 12,417.84 and 3,893.67

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Solution

The fourth proportional to 8,278.61, 12,417.84 and 3,893.67 is: 5,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.61 : 12,417.84 = 3,893.67 : x
  2. Step 2: Convert to fraction form
    8,278.61/12,417.84 = 3,893.67/x
  3. Step 3: Cross multiply
    8,278.61x = 12,417.84 × 3,893.67
  4. Step 4: Simplify right side
    8,278.61x = 48,350,971.07
  5. Step 5: Solve for x
    x = 48,350,971.07/8,278.61
  6. Step 6: Final answer
    x = 5,840.47

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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.