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Finding the Fourth Proportional to 8,223.09, 11,347.70 and 4,497.09

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Solution

The fourth proportional to 8,223.09, 11,347.70 and 4,497.09 is: 6,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.09 : 11,347.70 = 4,497.09 : x
  2. Step 2: Convert to fraction form
    8,223.09/11,347.70 = 4,497.09/x
  3. Step 3: Cross multiply
    8,223.09x = 11,347.70 × 4,497.09
  4. Step 4: Simplify right side
    8,223.09x = 51,031,605.71
  5. Step 5: Solve for x
    x = 51,031,605.71/8,223.09
  6. Step 6: Final answer
    x = 6,205.89

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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.