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Finding the Fourth Proportional to 10,704.40, 16,055.80 and 4,462.80

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Solution

The fourth proportional to 10,704.40, 16,055.80 and 4,462.80 is: 6,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.40 : 16,055.80 = 4,462.80 : x
  2. Step 2: Convert to fraction form
    10,704.40/16,055.80 = 4,462.80/x
  3. Step 3: Cross multiply
    10,704.40x = 16,055.80 × 4,462.80
  4. Step 4: Simplify right side
    10,704.40x = 71,653,824.24
  5. Step 5: Solve for x
    x = 71,653,824.24/10,704.40
  6. Step 6: Final answer
    x = 6,693.87

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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.