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Finding the Fourth Proportional to 8,349.40, 11,523.40 and 4,811.92

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Solution

The fourth proportional to 8,349.40, 11,523.40 and 4,811.92 is: 6,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.40 : 11,523.40 = 4,811.92 : x
  2. Step 2: Convert to fraction form
    8,349.40/11,523.40 = 4,811.92/x
  3. Step 3: Cross multiply
    8,349.40x = 11,523.40 × 4,811.92
  4. Step 4: Simplify right side
    8,349.40x = 55,449,678.93
  5. Step 5: Solve for x
    x = 55,449,678.93/8,349.40
  6. Step 6: Final answer
    x = 6,641.16

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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.