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Finding the Fourth Proportional to 6,710.12, 10,066.34 and 2,267.82

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Solution

The fourth proportional to 6,710.12, 10,066.34 and 2,267.82 is: 3,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.12 : 10,066.34 = 2,267.82 : x
  2. Step 2: Convert to fraction form
    6,710.12/10,066.34 = 2,267.82/x
  3. Step 3: Cross multiply
    6,710.12x = 10,066.34 × 2,267.82
  4. Step 4: Simplify right side
    6,710.12x = 22,828,647.18
  5. Step 5: Solve for x
    x = 22,828,647.18/6,710.12
  6. Step 6: Final answer
    x = 3,402.12

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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.