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Finding the Fourth Proportional to 10,066.82, 15,093.34 and 5,126.90

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Solution

The fourth proportional to 10,066.82, 15,093.34 and 5,126.90 is: 7,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.82 : 15,093.34 = 5,126.90 : x
  2. Step 2: Convert to fraction form
    10,066.82/15,093.34 = 5,126.90/x
  3. Step 3: Cross multiply
    10,066.82x = 15,093.34 × 5,126.90
  4. Step 4: Simplify right side
    10,066.82x = 77,382,044.85
  5. Step 5: Solve for x
    x = 77,382,044.85/10,066.82
  6. Step 6: Final answer
    x = 7,686.84

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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.