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Finding the Fourth Proportional to 8,193.66, 11,307.25 and 4,467.66

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Solution

The fourth proportional to 8,193.66, 11,307.25 and 4,467.66 is: 6,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.66 : 11,307.25 = 4,467.66 : x
  2. Step 2: Convert to fraction form
    8,193.66/11,307.25 = 4,467.66/x
  3. Step 3: Cross multiply
    8,193.66x = 11,307.25 × 4,467.66
  4. Step 4: Simplify right side
    8,193.66x = 50,516,886.59
  5. Step 5: Solve for x
    x = 50,516,886.59/8,193.66
  6. Step 6: Final answer
    x = 6,165.37

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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.