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Finding the Fourth Proportional to 8,209.32, 11,329.70 and 4,853.22

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Solution

The fourth proportional to 8,209.32, 11,329.70 and 4,853.22 is: 6,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.32 : 11,329.70 = 4,853.22 : x
  2. Step 2: Convert to fraction form
    8,209.32/11,329.70 = 4,853.22/x
  3. Step 3: Cross multiply
    8,209.32x = 11,329.70 × 4,853.22
  4. Step 4: Simplify right side
    8,209.32x = 54,985,502.37
  5. Step 5: Solve for x
    x = 54,985,502.37/8,209.32
  6. Step 6: Final answer
    x = 6,697.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.