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Finding the Fourth Proportional to 7,322.67, 10,094.67 and 5,223.15

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Solution

The fourth proportional to 7,322.67, 10,094.67 and 5,223.15 is: 7,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.67 : 10,094.67 = 5,223.15 : x
  2. Step 2: Convert to fraction form
    7,322.67/10,094.67 = 5,223.15/x
  3. Step 3: Cross multiply
    7,322.67x = 10,094.67 × 5,223.15
  4. Step 4: Simplify right side
    7,322.67x = 52,725,975.61
  5. Step 5: Solve for x
    x = 52,725,975.61/7,322.67
  6. Step 6: Final answer
    x = 7,200.38

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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.