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Finding the Fourth Proportional to 8,263.02, 12,390.50 and 5,765.41

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Solution

The fourth proportional to 8,263.02, 12,390.50 and 5,765.41 is: 8,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.02 : 12,390.50 = 5,765.41 : x
  2. Step 2: Convert to fraction form
    8,263.02/12,390.50 = 5,765.41/x
  3. Step 3: Cross multiply
    8,263.02x = 12,390.50 × 5,765.41
  4. Step 4: Simplify right side
    8,263.02x = 71,436,312.61
  5. Step 5: Solve for x
    x = 71,436,312.61/8,263.02
  6. Step 6: Final answer
    x = 8,645.30

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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.