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Finding the Fourth Proportional to 10,847.42, 16,271.13 and 3,055.22

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Solution

The fourth proportional to 10,847.42, 16,271.13 and 3,055.22 is: 4,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.42 : 16,271.13 = 3,055.22 : x
  2. Step 2: Convert to fraction form
    10,847.42/16,271.13 = 3,055.22/x
  3. Step 3: Cross multiply
    10,847.42x = 16,271.13 × 3,055.22
  4. Step 4: Simplify right side
    10,847.42x = 49,711,881.80
  5. Step 5: Solve for x
    x = 49,711,881.80/10,847.42
  6. Step 6: Final answer
    x = 4,582.83

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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.