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Finding the Fourth Proportional to 11,638.47, 17,451.81 and 5,393.10

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Solution

The fourth proportional to 11,638.47, 17,451.81 and 5,393.10 is: 8,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.47 : 17,451.81 = 5,393.10 : x
  2. Step 2: Convert to fraction form
    11,638.47/17,451.81 = 5,393.10/x
  3. Step 3: Cross multiply
    11,638.47x = 17,451.81 × 5,393.10
  4. Step 4: Simplify right side
    11,638.47x = 94,119,356.51
  5. Step 5: Solve for x
    x = 94,119,356.51/11,638.47
  6. Step 6: Final answer
    x = 8,086.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.