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Finding the Fourth Proportional to 7,673.16, 11,520.52 and 3,927.61

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Solution

The fourth proportional to 7,673.16, 11,520.52 and 3,927.61 is: 5,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.16 : 11,520.52 = 3,927.61 : x
  2. Step 2: Convert to fraction form
    7,673.16/11,520.52 = 3,927.61/x
  3. Step 3: Cross multiply
    7,673.16x = 11,520.52 × 3,927.61
  4. Step 4: Simplify right side
    7,673.16x = 45,248,089.92
  5. Step 5: Solve for x
    x = 45,248,089.92/7,673.16
  6. Step 6: Final answer
    x = 5,896.93

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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.