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Finding the Fourth Proportional to 8,097.55, 11,174.64 and 4,695.22

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Solution

The fourth proportional to 8,097.55, 11,174.64 and 4,695.22 is: 6,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.55 : 11,174.64 = 4,695.22 : x
  2. Step 2: Convert to fraction form
    8,097.55/11,174.64 = 4,695.22/x
  3. Step 3: Cross multiply
    8,097.55x = 11,174.64 × 4,695.22
  4. Step 4: Simplify right side
    8,097.55x = 52,467,393.22
  5. Step 5: Solve for x
    x = 52,467,393.22/8,097.55
  6. Step 6: Final answer
    x = 6,479.42

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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.