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Finding the Fourth Proportional to 11,224.97, 15,491.16 and 6,189.18

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Solution

The fourth proportional to 11,224.97, 15,491.16 and 6,189.18 is: 8,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.97 : 15,491.16 = 6,189.18 : x
  2. Step 2: Convert to fraction form
    11,224.97/15,491.16 = 6,189.18/x
  3. Step 3: Cross multiply
    11,224.97x = 15,491.16 × 6,189.18
  4. Step 4: Simplify right side
    11,224.97x = 95,877,521.77
  5. Step 5: Solve for x
    x = 95,877,521.77/11,224.97
  6. Step 6: Final answer
    x = 8,541.45

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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.