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Finding the Fourth Proportional to 6,502.42, 8,964.40 and 4,111.19

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Solution

The fourth proportional to 6,502.42, 8,964.40 and 4,111.19 is: 5,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.42 : 8,964.40 = 4,111.19 : x
  2. Step 2: Convert to fraction form
    6,502.42/8,964.40 = 4,111.19/x
  3. Step 3: Cross multiply
    6,502.42x = 8,964.40 × 4,111.19
  4. Step 4: Simplify right side
    6,502.42x = 36,854,351.64
  5. Step 5: Solve for x
    x = 36,854,351.64/6,502.42
  6. Step 6: Final answer
    x = 5,667.79

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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.