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Finding the Fourth Proportional to 11,152.86, 16,731 and 3,756.75

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Solution

The fourth proportional to 11,152.86, 16,731 and 3,756.75 is: 5,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.86 : 16,731 = 3,756.75 : x
  2. Step 2: Convert to fraction form
    11,152.86/16,731 = 3,756.75/x
  3. Step 3: Cross multiply
    11,152.86x = 16,731 × 3,756.75
  4. Step 4: Simplify right side
    11,152.86x = 62,854,184.25
  5. Step 5: Solve for x
    x = 62,854,184.25/11,152.86
  6. Step 6: Final answer
    x = 5,635.70

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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.