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Finding the Fourth Proportional to 10,066.76, 13,892.25 and 5,874.98

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Solution

The fourth proportional to 10,066.76, 13,892.25 and 5,874.98 is: 8,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.76 : 13,892.25 = 5,874.98 : x
  2. Step 2: Convert to fraction form
    10,066.76/13,892.25 = 5,874.98/x
  3. Step 3: Cross multiply
    10,066.76x = 13,892.25 × 5,874.98
  4. Step 4: Simplify right side
    10,066.76x = 81,616,690.91
  5. Step 5: Solve for x
    x = 81,616,690.91/10,066.76
  6. Step 6: Final answer
    x = 8,107.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.