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Finding the Fourth Proportional to 8,407.24, 12,593.10 and 6,840.04

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Solution

The fourth proportional to 8,407.24, 12,593.10 and 6,840.04 is: 10,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.24 : 12,593.10 = 6,840.04 : x
  2. Step 2: Convert to fraction form
    8,407.24/12,593.10 = 6,840.04/x
  3. Step 3: Cross multiply
    8,407.24x = 12,593.10 × 6,840.04
  4. Step 4: Simplify right side
    8,407.24x = 86,137,307.72
  5. Step 5: Solve for x
    x = 86,137,307.72/8,407.24
  6. Step 6: Final answer
    x = 10,245.61

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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.