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Finding the Fourth Proportional to 8,326.42, 12,475.24 and 5,849.64

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Solution

The fourth proportional to 8,326.42, 12,475.24 and 5,849.64 is: 8,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.42 : 12,475.24 = 5,849.64 : x
  2. Step 2: Convert to fraction form
    8,326.42/12,475.24 = 5,849.64/x
  3. Step 3: Cross multiply
    8,326.42x = 12,475.24 × 5,849.64
  4. Step 4: Simplify right side
    8,326.42x = 72,975,648.29
  5. Step 5: Solve for x
    x = 72,975,648.29/8,326.42
  6. Step 6: Final answer
    x = 8,764.35

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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.