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Finding the Fourth Proportional to 11,097.13, 15,310.11 and 7,120.39

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Solution

The fourth proportional to 11,097.13, 15,310.11 and 7,120.39 is: 9,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.13 : 15,310.11 = 7,120.39 : x
  2. Step 2: Convert to fraction form
    11,097.13/15,310.11 = 7,120.39/x
  3. Step 3: Cross multiply
    11,097.13x = 15,310.11 × 7,120.39
  4. Step 4: Simplify right side
    11,097.13x = 109,013,954.14
  5. Step 5: Solve for x
    x = 109,013,954.14/11,097.13
  6. Step 6: Final answer
    x = 9,823.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.