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Finding the Fourth Proportional to 10,494.72, 15,742.05 and 7,197.81

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Solution

The fourth proportional to 10,494.72, 15,742.05 and 7,197.81 is: 10,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.72 : 15,742.05 = 7,197.81 : x
  2. Step 2: Convert to fraction form
    10,494.72/15,742.05 = 7,197.81/x
  3. Step 3: Cross multiply
    10,494.72x = 15,742.05 × 7,197.81
  4. Step 4: Simplify right side
    10,494.72x = 113,308,342.26
  5. Step 5: Solve for x
    x = 113,308,342.26/10,494.72
  6. Step 6: Final answer
    x = 10,796.71

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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.