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Finding the Fourth Proportional to 10,033.92, 13,847.04 and 5,840.64

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Solution

The fourth proportional to 10,033.92, 13,847.04 and 5,840.64 is: 8,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.92 : 13,847.04 = 5,840.64 : x
  2. Step 2: Convert to fraction form
    10,033.92/13,847.04 = 5,840.64/x
  3. Step 3: Cross multiply
    10,033.92x = 13,847.04 × 5,840.64
  4. Step 4: Simplify right side
    10,033.92x = 80,875,575.71
  5. Step 5: Solve for x
    x = 80,875,575.71/10,033.92
  6. Step 6: Final answer
    x = 8,060.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.