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Finding the Fourth Proportional to 10,748.25, 16,127.10 and 4,509.90

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Solution

The fourth proportional to 10,748.25, 16,127.10 and 4,509.90 is: 6,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.25 : 16,127.10 = 4,509.90 : x
  2. Step 2: Convert to fraction form
    10,748.25/16,127.10 = 4,509.90/x
  3. Step 3: Cross multiply
    10,748.25x = 16,127.10 × 4,509.90
  4. Step 4: Simplify right side
    10,748.25x = 72,731,608.29
  5. Step 5: Solve for x
    x = 72,731,608.29/10,748.25
  6. Step 6: Final answer
    x = 6,766.83

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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.