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Finding the Fourth Proportional to 10,937.76, 16,405.20 and 3,147.36

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Solution

The fourth proportional to 10,937.76, 16,405.20 and 3,147.36 is: 4,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.76 : 16,405.20 = 3,147.36 : x
  2. Step 2: Convert to fraction form
    10,937.76/16,405.20 = 3,147.36/x
  3. Step 3: Cross multiply
    10,937.76x = 16,405.20 × 3,147.36
  4. Step 4: Simplify right side
    10,937.76x = 51,633,070.27
  5. Step 5: Solve for x
    x = 51,633,070.27/10,937.76
  6. Step 6: Final answer
    x = 4,720.63

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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.