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Finding the Fourth Proportional to 10,494.86, 15,742.26 and 7,197.95

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Solution

The fourth proportional to 10,494.86, 15,742.26 and 7,197.95 is: 10,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.86 : 15,742.26 = 7,197.95 : x
  2. Step 2: Convert to fraction form
    10,494.86/15,742.26 = 7,197.95/x
  3. Step 3: Cross multiply
    10,494.86x = 15,742.26 × 7,197.95
  4. Step 4: Simplify right side
    10,494.86x = 113,312,039.72
  5. Step 5: Solve for x
    x = 113,312,039.72/10,494.86
  6. Step 6: Final answer
    x = 10,796.91

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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.