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Finding the Fourth Proportional to 8,054, 12,073.44 and 7,332.56

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Solution

The fourth proportional to 8,054, 12,073.44 and 7,332.56 is: 10,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054 : 12,073.44 = 7,332.56 : x
  2. Step 2: Convert to fraction form
    8,054/12,073.44 = 7,332.56/x
  3. Step 3: Cross multiply
    8,054x = 12,073.44 × 7,332.56
  4. Step 4: Simplify right side
    8,054x = 88,529,223.21
  5. Step 5: Solve for x
    x = 88,529,223.21/8,054
  6. Step 6: Final answer
    x = 10,991.96

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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.