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Finding the Fourth Proportional to 10,267.83, 15,380.95 and 8,066.25

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Solution

The fourth proportional to 10,267.83, 15,380.95 and 8,066.25 is: 12,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.83 : 15,380.95 = 8,066.25 : x
  2. Step 2: Convert to fraction form
    10,267.83/15,380.95 = 8,066.25/x
  3. Step 3: Cross multiply
    10,267.83x = 15,380.95 × 8,066.25
  4. Step 4: Simplify right side
    10,267.83x = 124,066,587.94
  5. Step 5: Solve for x
    x = 124,066,587.94/10,267.83
  6. Step 6: Final answer
    x = 12,083.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.