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Finding the Fourth Proportional to 7,212.16, 10,793.76 and 4,578.40

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Solution

The fourth proportional to 7,212.16, 10,793.76 and 4,578.40 is: 6,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.16 : 10,793.76 = 4,578.40 : x
  2. Step 2: Convert to fraction form
    7,212.16/10,793.76 = 4,578.40/x
  3. Step 3: Cross multiply
    7,212.16x = 10,793.76 × 4,578.40
  4. Step 4: Simplify right side
    7,212.16x = 49,418,150.78
  5. Step 5: Solve for x
    x = 49,418,150.78/7,212.16
  6. Step 6: Final answer
    x = 6,852.06

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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.