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Finding the Fourth Proportional to 7,505.26, 11,257.47 and 3,807.39

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Solution

The fourth proportional to 7,505.26, 11,257.47 and 3,807.39 is: 5,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.26 : 11,257.47 = 3,807.39 : x
  2. Step 2: Convert to fraction form
    7,505.26/11,257.47 = 3,807.39/x
  3. Step 3: Cross multiply
    7,505.26x = 11,257.47 × 3,807.39
  4. Step 4: Simplify right side
    7,505.26x = 42,861,522.42
  5. Step 5: Solve for x
    x = 42,861,522.42/7,505.26
  6. Step 6: Final answer
    x = 5,710.87

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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.