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Finding the Fourth Proportional to 7,150.16, 9,862.72 and 5,163.64

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Solution

The fourth proportional to 7,150.16, 9,862.72 and 5,163.64 is: 7,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.16 : 9,862.72 = 5,163.64 : x
  2. Step 2: Convert to fraction form
    7,150.16/9,862.72 = 5,163.64/x
  3. Step 3: Cross multiply
    7,150.16x = 9,862.72 × 5,163.64
  4. Step 4: Simplify right side
    7,150.16x = 50,927,535.50
  5. Step 5: Solve for x
    x = 50,927,535.50/7,150.16
  6. Step 6: Final answer
    x = 7,122.57

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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.