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Finding the Fourth Proportional to 11,191.32, 15,443.42 and 6,223

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Solution

The fourth proportional to 11,191.32, 15,443.42 and 6,223 is: 8,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.32 : 15,443.42 = 6,223 : x
  2. Step 2: Convert to fraction form
    11,191.32/15,443.42 = 6,223/x
  3. Step 3: Cross multiply
    11,191.32x = 15,443.42 × 6,223
  4. Step 4: Simplify right side
    11,191.32x = 96,104,402.66
  5. Step 5: Solve for x
    x = 96,104,402.66/11,191.32
  6. Step 6: Final answer
    x = 8,587.41

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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.