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Finding the Fourth Proportional to 8,285.94, 12,430.96 and 6,807.66

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Solution

The fourth proportional to 8,285.94, 12,430.96 and 6,807.66 is: 10,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.94 : 12,430.96 = 6,807.66 : x
  2. Step 2: Convert to fraction form
    8,285.94/12,430.96 = 6,807.66/x
  3. Step 3: Cross multiply
    8,285.94x = 12,430.96 × 6,807.66
  4. Step 4: Simplify right side
    8,285.94x = 84,625,749.15
  5. Step 5: Solve for x
    x = 84,625,749.15/8,285.94
  6. Step 6: Final answer
    x = 10,213.17

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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.