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Finding the Fourth Proportional to 11,175.50, 15,426.92 and 7,542.34

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Solution

The fourth proportional to 11,175.50, 15,426.92 and 7,542.34 is: 10,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.50 : 15,426.92 = 7,542.34 : x
  2. Step 2: Convert to fraction form
    11,175.50/15,426.92 = 7,542.34/x
  3. Step 3: Cross multiply
    11,175.50x = 15,426.92 × 7,542.34
  4. Step 4: Simplify right side
    11,175.50x = 116,355,056.08
  5. Step 5: Solve for x
    x = 116,355,056.08/11,175.50
  6. Step 6: Final answer
    x = 10,411.62

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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.