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Finding the Fourth Proportional to 7,241.25, 10,862.00 and 2,858.67

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Solution

The fourth proportional to 7,241.25, 10,862.00 and 2,858.67 is: 4,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.25 : 10,862.00 = 2,858.67 : x
  2. Step 2: Convert to fraction form
    7,241.25/10,862.00 = 2,858.67/x
  3. Step 3: Cross multiply
    7,241.25x = 10,862.00 × 2,858.67
  4. Step 4: Simplify right side
    7,241.25x = 31,050,859.25
  5. Step 5: Solve for x
    x = 31,050,859.25/7,241.25
  6. Step 6: Final answer
    x = 4,288.05

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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.