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Finding the Fourth Proportional to 7,292, 10,063.32 and 4,148.48

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Solution

The fourth proportional to 7,292, 10,063.32 and 4,148.48 is: 5,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292 : 10,063.32 = 4,148.48 : x
  2. Step 2: Convert to fraction form
    7,292/10,063.32 = 4,148.48/x
  3. Step 3: Cross multiply
    7,292x = 10,063.32 × 4,148.48
  4. Step 4: Simplify right side
    7,292x = 41,747,481.75
  5. Step 5: Solve for x
    x = 41,747,481.75/7,292
  6. Step 6: Final answer
    x = 5,725.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.