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Finding the Fourth Proportional to 6,322.20, 8,723.34 and 4,827.48

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Solution

The fourth proportional to 6,322.20, 8,723.34 and 4,827.48 is: 6,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.20 : 8,723.34 = 4,827.48 : x
  2. Step 2: Convert to fraction form
    6,322.20/8,723.34 = 4,827.48/x
  3. Step 3: Cross multiply
    6,322.20x = 8,723.34 × 4,827.48
  4. Step 4: Simplify right side
    6,322.20x = 42,111,749.38
  5. Step 5: Solve for x
    x = 42,111,749.38/6,322.20
  6. Step 6: Final answer
    x = 6,660.93

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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.