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Finding the Fourth Proportional to 7,392.50, 11,090.52 and 2,462.18

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Solution

The fourth proportional to 7,392.50, 11,090.52 and 2,462.18 is: 3,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.50 : 11,090.52 = 2,462.18 : x
  2. Step 2: Convert to fraction form
    7,392.50/11,090.52 = 2,462.18/x
  3. Step 3: Cross multiply
    7,392.50x = 11,090.52 × 2,462.18
  4. Step 4: Simplify right side
    7,392.50x = 27,306,894.66
  5. Step 5: Solve for x
    x = 27,306,894.66/7,392.50
  6. Step 6: Final answer
    x = 3,693.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.