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Finding the Fourth Proportional to 8,385.24, 12,577.86 and 3,765

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Solution

The fourth proportional to 8,385.24, 12,577.86 and 3,765 is: 5,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.24 : 12,577.86 = 3,765 : x
  2. Step 2: Convert to fraction form
    8,385.24/12,577.86 = 3,765/x
  3. Step 3: Cross multiply
    8,385.24x = 12,577.86 × 3,765
  4. Step 4: Simplify right side
    8,385.24x = 47,355,642.90
  5. Step 5: Solve for x
    x = 47,355,642.90/8,385.24
  6. Step 6: Final answer
    x = 5,647.50

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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.