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Finding the Fourth Proportional to 8,343.74, 12,515.62 and 3,840.36

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Solution

The fourth proportional to 8,343.74, 12,515.62 and 3,840.36 is: 5,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.74 : 12,515.62 = 3,840.36 : x
  2. Step 2: Convert to fraction form
    8,343.74/12,515.62 = 3,840.36/x
  3. Step 3: Cross multiply
    8,343.74x = 12,515.62 × 3,840.36
  4. Step 4: Simplify right side
    8,343.74x = 48,064,486.42
  5. Step 5: Solve for x
    x = 48,064,486.42/8,343.74
  6. Step 6: Final answer
    x = 5,760.54

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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.