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Finding the Fourth Proportional to 37,638.27, 56,459.57 and 11,340.27

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Solution

The fourth proportional to 37,638.27, 56,459.57 and 11,340.27 is: 17,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638.27 : 56,459.57 = 11,340.27 : x
  2. Step 2: Convert to fraction form
    37,638.27/56,459.57 = 11,340.27/x
  3. Step 3: Cross multiply
    37,638.27x = 56,459.57 × 11,340.27
  4. Step 4: Simplify right side
    37,638.27x = 640,266,711.18
  5. Step 5: Solve for x
    x = 640,266,711.18/37,638.27
  6. Step 6: Final answer
    x = 17,011.06

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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.