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Finding the Fourth Proportional to 11,097.36, 16,710.75 and 8,195.94

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Solution

The fourth proportional to 11,097.36, 16,710.75 and 8,195.94 is: 12,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.36 : 16,710.75 = 8,195.94 : x
  2. Step 2: Convert to fraction form
    11,097.36/16,710.75 = 8,195.94/x
  3. Step 3: Cross multiply
    11,097.36x = 16,710.75 × 8,195.94
  4. Step 4: Simplify right side
    11,097.36x = 136,960,304.36
  5. Step 5: Solve for x
    x = 136,960,304.36/11,097.36
  6. Step 6: Final answer
    x = 12,341.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.