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Finding the Fourth Proportional to 7,354.52, 11,016.92 and 5,876.24

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Solution

The fourth proportional to 7,354.52, 11,016.92 and 5,876.24 is: 8,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.52 : 11,016.92 = 5,876.24 : x
  2. Step 2: Convert to fraction form
    7,354.52/11,016.92 = 5,876.24/x
  3. Step 3: Cross multiply
    7,354.52x = 11,016.92 × 5,876.24
  4. Step 4: Simplify right side
    7,354.52x = 64,738,065.98
  5. Step 5: Solve for x
    x = 64,738,065.98/7,354.52
  6. Step 6: Final answer
    x = 8,802.49

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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.