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Finding the Fourth Proportional to 10,102.90, 13,942.02 and 5,627.02

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Solution

The fourth proportional to 10,102.90, 13,942.02 and 5,627.02 is: 7,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.90 : 13,942.02 = 5,627.02 : x
  2. Step 2: Convert to fraction form
    10,102.90/13,942.02 = 5,627.02/x
  3. Step 3: Cross multiply
    10,102.90x = 13,942.02 × 5,627.02
  4. Step 4: Simplify right side
    10,102.90x = 78,452,025.38
  5. Step 5: Solve for x
    x = 78,452,025.38/10,102.90
  6. Step 6: Final answer
    x = 7,765.30

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Why These Related Problems?

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