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Finding the Fourth Proportional to 7,205.88, 10,775.88 and 5,238.12

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Solution

The fourth proportional to 7,205.88, 10,775.88 and 5,238.12 is: 7,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.88 : 10,775.88 = 5,238.12 : x
  2. Step 2: Convert to fraction form
    7,205.88/10,775.88 = 5,238.12/x
  3. Step 3: Cross multiply
    7,205.88x = 10,775.88 × 5,238.12
  4. Step 4: Simplify right side
    7,205.88x = 56,445,352.55
  5. Step 5: Solve for x
    x = 56,445,352.55/7,205.88
  6. Step 6: Final answer
    x = 7,833.24

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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.