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Finding the Fourth Proportional to 8,097.40, 11,174.43 and 4,695.09

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Solution

The fourth proportional to 8,097.40, 11,174.43 and 4,695.09 is: 6,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.40 : 11,174.43 = 4,695.09 : x
  2. Step 2: Convert to fraction form
    8,097.40/11,174.43 = 4,695.09/x
  3. Step 3: Cross multiply
    8,097.40x = 11,174.43 × 4,695.09
  4. Step 4: Simplify right side
    8,097.40x = 52,464,954.55
  5. Step 5: Solve for x
    x = 52,464,954.55/8,097.40
  6. Step 6: Final answer
    x = 6,479.23

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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.