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Finding the Fourth Proportional to 7,436.25, 11,097.81 and 7,134.84

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Solution

The fourth proportional to 7,436.25, 11,097.81 and 7,134.84 is: 10,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.25 : 11,097.81 = 7,134.84 : x
  2. Step 2: Convert to fraction form
    7,436.25/11,097.81 = 7,134.84/x
  3. Step 3: Cross multiply
    7,436.25x = 11,097.81 × 7,134.84
  4. Step 4: Simplify right side
    7,436.25x = 79,181,098.70
  5. Step 5: Solve for x
    x = 79,181,098.70/7,436.25
  6. Step 6: Final answer
    x = 10,647.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.