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Finding the Fourth Proportional to 7,600.60, 10,493.63 and 5,214.56

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Solution

The fourth proportional to 7,600.60, 10,493.63 and 5,214.56 is: 7,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.60 : 10,493.63 = 5,214.56 : x
  2. Step 2: Convert to fraction form
    7,600.60/10,493.63 = 5,214.56/x
  3. Step 3: Cross multiply
    7,600.60x = 10,493.63 × 5,214.56
  4. Step 4: Simplify right side
    7,600.60x = 54,719,663.25
  5. Step 5: Solve for x
    x = 54,719,663.25/7,600.60
  6. Step 6: Final answer
    x = 7,199.39

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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.