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Finding the Fourth Proportional to 8,507.19, 12,765.11 and 3,826.25

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Solution

The fourth proportional to 8,507.19, 12,765.11 and 3,826.25 is: 5,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.19 : 12,765.11 = 3,826.25 : x
  2. Step 2: Convert to fraction form
    8,507.19/12,765.11 = 3,826.25/x
  3. Step 3: Cross multiply
    8,507.19x = 12,765.11 × 3,826.25
  4. Step 4: Simplify right side
    8,507.19x = 48,842,514.92
  5. Step 5: Solve for x
    x = 48,842,514.92/8,507.19
  6. Step 6: Final answer
    x = 5,741.32

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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.