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Finding the Fourth Proportional to 11,574.86, 17,358.68 and 4,178.36

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Solution

The fourth proportional to 11,574.86, 17,358.68 and 4,178.36 is: 6,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.86 : 17,358.68 = 4,178.36 : x
  2. Step 2: Convert to fraction form
    11,574.86/17,358.68 = 4,178.36/x
  3. Step 3: Cross multiply
    11,574.86x = 17,358.68 × 4,178.36
  4. Step 4: Simplify right side
    11,574.86x = 72,530,706.48
  5. Step 5: Solve for x
    x = 72,530,706.48/11,574.86
  6. Step 6: Final answer
    x = 6,266.23

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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.