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Finding the Fourth Proportional to 7,133.52, 10,749 and 5,863.44

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Solution

The fourth proportional to 7,133.52, 10,749 and 5,863.44 is: 8,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.52 : 10,749 = 5,863.44 : x
  2. Step 2: Convert to fraction form
    7,133.52/10,749 = 5,863.44/x
  3. Step 3: Cross multiply
    7,133.52x = 10,749 × 5,863.44
  4. Step 4: Simplify right side
    7,133.52x = 63,026,116.56
  5. Step 5: Solve for x
    x = 63,026,116.56/7,133.52
  6. Step 6: Final answer
    x = 8,835.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.