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Finding the Fourth Proportional to 11,055.68, 16,584.46 and 3,158.32

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Solution

The fourth proportional to 11,055.68, 16,584.46 and 3,158.32 is: 4,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.68 : 16,584.46 = 3,158.32 : x
  2. Step 2: Convert to fraction form
    11,055.68/16,584.46 = 3,158.32/x
  3. Step 3: Cross multiply
    11,055.68x = 16,584.46 × 3,158.32
  4. Step 4: Simplify right side
    11,055.68x = 52,379,031.71
  5. Step 5: Solve for x
    x = 52,379,031.71/11,055.68
  6. Step 6: Final answer
    x = 4,737.75

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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.