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Finding the Fourth Proportional to 7,398.24, 11,097.35 and 3,696.74

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Solution

The fourth proportional to 7,398.24, 11,097.35 and 3,696.74 is: 5,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.24 : 11,097.35 = 3,696.74 : x
  2. Step 2: Convert to fraction form
    7,398.24/11,097.35 = 3,696.74/x
  3. Step 3: Cross multiply
    7,398.24x = 11,097.35 × 3,696.74
  4. Step 4: Simplify right side
    7,398.24x = 41,024,019.94
  5. Step 5: Solve for x
    x = 41,024,019.94/7,398.24
  6. Step 6: Final answer
    x = 5,545.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.