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Finding the Fourth Proportional to 7,600.72, 10,493.81 and 5,214.69

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Solution

The fourth proportional to 7,600.72, 10,493.81 and 5,214.69 is: 7,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.72 : 10,493.81 = 5,214.69 : x
  2. Step 2: Convert to fraction form
    7,600.72/10,493.81 = 5,214.69/x
  3. Step 3: Cross multiply
    7,600.72x = 10,493.81 × 5,214.69
  4. Step 4: Simplify right side
    7,600.72x = 54,721,966.07
  5. Step 5: Solve for x
    x = 54,721,966.07/7,600.72
  6. Step 6: Final answer
    x = 7,199.58

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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.