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Finding the Fourth Proportional to 10,059.62, 13,880.06 and 5,809.78

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Solution

The fourth proportional to 10,059.62, 13,880.06 and 5,809.78 is: 8,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.62 : 13,880.06 = 5,809.78 : x
  2. Step 2: Convert to fraction form
    10,059.62/13,880.06 = 5,809.78/x
  3. Step 3: Cross multiply
    10,059.62x = 13,880.06 × 5,809.78
  4. Step 4: Simplify right side
    10,059.62x = 80,640,094.99
  5. Step 5: Solve for x
    x = 80,640,094.99/10,059.62
  6. Step 6: Final answer
    x = 8,016.22

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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.