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Finding the Fourth Proportional to 7,472.93, 11,203.91 and 3,580.07

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Solution

The fourth proportional to 7,472.93, 11,203.91 and 3,580.07 is: 5,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.93 : 11,203.91 = 3,580.07 : x
  2. Step 2: Convert to fraction form
    7,472.93/11,203.91 = 3,580.07/x
  3. Step 3: Cross multiply
    7,472.93x = 11,203.91 × 3,580.07
  4. Step 4: Simplify right side
    7,472.93x = 40,110,764.17
  5. Step 5: Solve for x
    x = 40,110,764.17/7,472.93
  6. Step 6: Final answer
    x = 5,367.47

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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.