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Finding the Fourth Proportional to 7,352.16, 11,028.72 and 5,383.68

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Solution

The fourth proportional to 7,352.16, 11,028.72 and 5,383.68 is: 8,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.16 : 11,028.72 = 5,383.68 : x
  2. Step 2: Convert to fraction form
    7,352.16/11,028.72 = 5,383.68/x
  3. Step 3: Cross multiply
    7,352.16x = 11,028.72 × 5,383.68
  4. Step 4: Simplify right side
    7,352.16x = 59,375,099.29
  5. Step 5: Solve for x
    x = 59,375,099.29/7,352.16
  6. Step 6: Final answer
    x = 8,075.87

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Why These Related Problems?

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