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Finding the Fourth Proportional to 10,056.52, 13,879.44 and 5,806.74

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Solution

The fourth proportional to 10,056.52, 13,879.44 and 5,806.74 is: 8,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.52 : 13,879.44 = 5,806.74 : x
  2. Step 2: Convert to fraction form
    10,056.52/13,879.44 = 5,806.74/x
  3. Step 3: Cross multiply
    10,056.52x = 13,879.44 × 5,806.74
  4. Step 4: Simplify right side
    10,056.52x = 80,594,299.43
  5. Step 5: Solve for x
    x = 80,594,299.43/10,056.52
  6. Step 6: Final answer
    x = 8,014.13

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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.