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Finding the Fourth Proportional to 7,192.32, 10,795.20 and 3,732

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Solution

The fourth proportional to 7,192.32, 10,795.20 and 3,732 is: 5,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.32 : 10,795.20 = 3,732 : x
  2. Step 2: Convert to fraction form
    7,192.32/10,795.20 = 3,732/x
  3. Step 3: Cross multiply
    7,192.32x = 10,795.20 × 3,732
  4. Step 4: Simplify right side
    7,192.32x = 40,287,686.40
  5. Step 5: Solve for x
    x = 40,287,686.40/7,192.32
  6. Step 6: Final answer
    x = 5,601.49

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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.