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Finding the Fourth Proportional to 7,101.63, 10,652.42 and 2,104.39

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Solution

The fourth proportional to 7,101.63, 10,652.42 and 2,104.39 is: 3,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.63 : 10,652.42 = 2,104.39 : x
  2. Step 2: Convert to fraction form
    7,101.63/10,652.42 = 2,104.39/x
  3. Step 3: Cross multiply
    7,101.63x = 10,652.42 × 2,104.39
  4. Step 4: Simplify right side
    7,101.63x = 22,416,844.73
  5. Step 5: Solve for x
    x = 22,416,844.73/7,101.63
  6. Step 6: Final answer
    x = 3,156.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.