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Finding the Fourth Proportional to 7,456.63, 11,180.95 and 3,937.74

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Solution

The fourth proportional to 7,456.63, 11,180.95 and 3,937.74 is: 5,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.63 : 11,180.95 = 3,937.74 : x
  2. Step 2: Convert to fraction form
    7,456.63/11,180.95 = 3,937.74/x
  3. Step 3: Cross multiply
    7,456.63x = 11,180.95 × 3,937.74
  4. Step 4: Simplify right side
    7,456.63x = 44,027,618.15
  5. Step 5: Solve for x
    x = 44,027,618.15/7,456.63
  6. Step 6: Final answer
    x = 5,904.50

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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.