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Finding the Fourth Proportional to 8,722.50, 13,083.71 and 4,835.13

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Solution

The fourth proportional to 8,722.50, 13,083.71 and 4,835.13 is: 7,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.50 : 13,083.71 = 4,835.13 : x
  2. Step 2: Convert to fraction form
    8,722.50/13,083.71 = 4,835.13/x
  3. Step 3: Cross multiply
    8,722.50x = 13,083.71 × 4,835.13
  4. Step 4: Simplify right side
    8,722.50x = 63,261,414.56
  5. Step 5: Solve for x
    x = 63,261,414.56/8,722.50
  6. Step 6: Final answer
    x = 7,252.67

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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.