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Finding the Fourth Proportional to 6,952.79, 10,430.51 and 2,793.13

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Solution

The fourth proportional to 6,952.79, 10,430.51 and 2,793.13 is: 4,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.79 : 10,430.51 = 2,793.13 : x
  2. Step 2: Convert to fraction form
    6,952.79/10,430.51 = 2,793.13/x
  3. Step 3: Cross multiply
    6,952.79x = 10,430.51 × 2,793.13
  4. Step 4: Simplify right side
    6,952.79x = 29,133,730.35
  5. Step 5: Solve for x
    x = 29,133,730.35/6,952.79
  6. Step 6: Final answer
    x = 4,190.22

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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.