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Finding the Fourth Proportional to 8,443.10, 11,637.51 and 6,343.58

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Solution

The fourth proportional to 8,443.10, 11,637.51 and 6,343.58 is: 8,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.10 : 11,637.51 = 6,343.58 : x
  2. Step 2: Convert to fraction form
    8,443.10/11,637.51 = 6,343.58/x
  3. Step 3: Cross multiply
    8,443.10x = 11,637.51 × 6,343.58
  4. Step 4: Simplify right side
    8,443.10x = 73,823,480.99
  5. Step 5: Solve for x
    x = 73,823,480.99/8,443.10
  6. Step 6: Final answer
    x = 8,743.64

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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.