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Finding the Fourth Proportional to 11,389.66, 15,717.31 and 6,353.80

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Solution

The fourth proportional to 11,389.66, 15,717.31 and 6,353.80 is: 8,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.66 : 15,717.31 = 6,353.80 : x
  2. Step 2: Convert to fraction form
    11,389.66/15,717.31 = 6,353.80/x
  3. Step 3: Cross multiply
    11,389.66x = 15,717.31 × 6,353.80
  4. Step 4: Simplify right side
    11,389.66x = 99,864,644.28
  5. Step 5: Solve for x
    x = 99,864,644.28/11,389.66
  6. Step 6: Final answer
    x = 8,768.01

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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.