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Finding the Fourth Proportional to 11,574.50, 15,964.65 and 7,100.42

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Solution

The fourth proportional to 11,574.50, 15,964.65 and 7,100.42 is: 9,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.50 : 15,964.65 = 7,100.42 : x
  2. Step 2: Convert to fraction form
    11,574.50/15,964.65 = 7,100.42/x
  3. Step 3: Cross multiply
    11,574.50x = 15,964.65 × 7,100.42
  4. Step 4: Simplify right side
    11,574.50x = 113,355,640.33
  5. Step 5: Solve for x
    x = 113,355,640.33/11,574.50
  6. Step 6: Final answer
    x = 9,793.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.