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Finding the Fourth Proportional to 8,862.84, 13,289.22 and 3,016.26

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Solution

The fourth proportional to 8,862.84, 13,289.22 and 3,016.26 is: 4,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.84 : 13,289.22 = 3,016.26 : x
  2. Step 2: Convert to fraction form
    8,862.84/13,289.22 = 3,016.26/x
  3. Step 3: Cross multiply
    8,862.84x = 13,289.22 × 3,016.26
  4. Step 4: Simplify right side
    8,862.84x = 40,083,742.72
  5. Step 5: Solve for x
    x = 40,083,742.72/8,862.84
  6. Step 6: Final answer
    x = 4,522.67

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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.