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Finding the Fourth Proportional to 7,155.54, 10,731.24 and 2,474.33

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Solution

The fourth proportional to 7,155.54, 10,731.24 and 2,474.33 is: 3,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.54 : 10,731.24 = 2,474.33 : x
  2. Step 2: Convert to fraction form
    7,155.54/10,731.24 = 2,474.33/x
  3. Step 3: Cross multiply
    7,155.54x = 10,731.24 × 2,474.33
  4. Step 4: Simplify right side
    7,155.54x = 26,552,575.41
  5. Step 5: Solve for x
    x = 26,552,575.41/7,155.54
  6. Step 6: Final answer
    x = 3,710.77

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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.