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Finding the Fourth Proportional to 8,142.69, 12,204.03 and 4,635.66

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Solution

The fourth proportional to 8,142.69, 12,204.03 and 4,635.66 is: 6,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.69 : 12,204.03 = 4,635.66 : x
  2. Step 2: Convert to fraction form
    8,142.69/12,204.03 = 4,635.66/x
  3. Step 3: Cross multiply
    8,142.69x = 12,204.03 × 4,635.66
  4. Step 4: Simplify right side
    8,142.69x = 56,573,733.71
  5. Step 5: Solve for x
    x = 56,573,733.71/8,142.69
  6. Step 6: Final answer
    x = 6,947.79

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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.