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Finding the Fourth Proportional to 10,704.68, 16,047.80 and 4,135.48

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Solution

The fourth proportional to 10,704.68, 16,047.80 and 4,135.48 is: 6,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.68 : 16,047.80 = 4,135.48 : x
  2. Step 2: Convert to fraction form
    10,704.68/16,047.80 = 4,135.48/x
  3. Step 3: Cross multiply
    10,704.68x = 16,047.80 × 4,135.48
  4. Step 4: Simplify right side
    10,704.68x = 66,365,344.16
  5. Step 5: Solve for x
    x = 66,365,344.16/10,704.68
  6. Step 6: Final answer
    x = 6,199.66

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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.