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Finding the Fourth Proportional to 10,102.02, 13,940.73 and 5,910.18

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Solution

The fourth proportional to 10,102.02, 13,940.73 and 5,910.18 is: 8,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.02 : 13,940.73 = 5,910.18 : x
  2. Step 2: Convert to fraction form
    10,102.02/13,940.73 = 5,910.18/x
  3. Step 3: Cross multiply
    10,102.02x = 13,940.73 × 5,910.18
  4. Step 4: Simplify right side
    10,102.02x = 82,392,223.63
  5. Step 5: Solve for x
    x = 82,392,223.63/10,102.02
  6. Step 6: Final answer
    x = 8,156.01

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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.