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Finding the Fourth Proportional to 8,097.60, 11,171.04 and 4,910.40

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Solution

The fourth proportional to 8,097.60, 11,171.04 and 4,910.40 is: 6,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.60 : 11,171.04 = 4,910.40 : x
  2. Step 2: Convert to fraction form
    8,097.60/11,171.04 = 4,910.40/x
  3. Step 3: Cross multiply
    8,097.60x = 11,171.04 × 4,910.40
  4. Step 4: Simplify right side
    8,097.60x = 54,854,274.82
  5. Step 5: Solve for x
    x = 54,854,274.82/8,097.60
  6. Step 6: Final answer
    x = 6,774.14

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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.