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Finding the Fourth Proportional to 8,384.92, 12,558.22 and 4,005.47

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Solution

The fourth proportional to 8,384.92, 12,558.22 and 4,005.47 is: 5,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.92 : 12,558.22 = 4,005.47 : x
  2. Step 2: Convert to fraction form
    8,384.92/12,558.22 = 4,005.47/x
  3. Step 3: Cross multiply
    8,384.92x = 12,558.22 × 4,005.47
  4. Step 4: Simplify right side
    8,384.92x = 50,301,573.46
  5. Step 5: Solve for x
    x = 50,301,573.46/8,384.92
  6. Step 6: Final answer
    x = 5,999.05

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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.