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Finding the Fourth Proportional to 8,305.47, 12,455.78 and 6,840.99

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Solution

The fourth proportional to 8,305.47, 12,455.78 and 6,840.99 is: 10,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.47 : 12,455.78 = 6,840.99 : x
  2. Step 2: Convert to fraction form
    8,305.47/12,455.78 = 6,840.99/x
  3. Step 3: Cross multiply
    8,305.47x = 12,455.78 × 6,840.99
  4. Step 4: Simplify right side
    8,305.47x = 85,209,832.22
  5. Step 5: Solve for x
    x = 85,209,832.22/8,305.47
  6. Step 6: Final answer
    x = 10,259.48

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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.