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Finding the Fourth Proportional to 11,301.71, 15,596.15 and 6,197.22

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Solution

The fourth proportional to 11,301.71, 15,596.15 and 6,197.22 is: 8,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.71 : 15,596.15 = 6,197.22 : x
  2. Step 2: Convert to fraction form
    11,301.71/15,596.15 = 6,197.22/x
  3. Step 3: Cross multiply
    11,301.71x = 15,596.15 × 6,197.22
  4. Step 4: Simplify right side
    11,301.71x = 96,652,741.72
  5. Step 5: Solve for x
    x = 96,652,741.72/11,301.71
  6. Step 6: Final answer
    x = 8,552.05

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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.