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Finding the Fourth Proportional to 7,466.71, 11,200.07 and 5,301.58

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Solution

The fourth proportional to 7,466.71, 11,200.07 and 5,301.58 is: 7,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.71 : 11,200.07 = 5,301.58 : x
  2. Step 2: Convert to fraction form
    7,466.71/11,200.07 = 5,301.58/x
  3. Step 3: Cross multiply
    7,466.71x = 11,200.07 × 5,301.58
  4. Step 4: Simplify right side
    7,466.71x = 59,378,067.11
  5. Step 5: Solve for x
    x = 59,378,067.11/7,466.71
  6. Step 6: Final answer
    x = 7,952.37

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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.