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Finding the Fourth Proportional to 5,852.71, 8,812.15 and 5,163.67

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Solution

The fourth proportional to 5,852.71, 8,812.15 and 5,163.67 is: 7,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.71 : 8,812.15 = 5,163.67 : x
  2. Step 2: Convert to fraction form
    5,852.71/8,812.15 = 5,163.67/x
  3. Step 3: Cross multiply
    5,852.71x = 8,812.15 × 5,163.67
  4. Step 4: Simplify right side
    5,852.71x = 45,503,034.59
  5. Step 5: Solve for x
    x = 45,503,034.59/5,852.71
  6. Step 6: Final answer
    x = 7,774.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.