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Finding the Fourth Proportional to 12,862.50, 19,295.26 and 4,540.76

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Solution

The fourth proportional to 12,862.50, 19,295.26 and 4,540.76 is: 6,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.50 : 19,295.26 = 4,540.76 : x
  2. Step 2: Convert to fraction form
    12,862.50/19,295.26 = 4,540.76/x
  3. Step 3: Cross multiply
    12,862.50x = 19,295.26 × 4,540.76
  4. Step 4: Simplify right side
    12,862.50x = 87,615,134.87
  5. Step 5: Solve for x
    x = 87,615,134.87/12,862.50
  6. Step 6: Final answer
    x = 6,811.67

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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.