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Finding the Fourth Proportional to 7,505.66, 10,352.71 and 5,233.01

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Solution

The fourth proportional to 7,505.66, 10,352.71 and 5,233.01 is: 7,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.66 : 10,352.71 = 5,233.01 : x
  2. Step 2: Convert to fraction form
    7,505.66/10,352.71 = 5,233.01/x
  3. Step 3: Cross multiply
    7,505.66x = 10,352.71 × 5,233.01
  4. Step 4: Simplify right side
    7,505.66x = 54,175,789.73
  5. Step 5: Solve for x
    x = 54,175,789.73/7,505.66
  6. Step 6: Final answer
    x = 7,217.99

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