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Finding the Fourth Proportional to 6,809.77, 10,214.30 and 4,000.15

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Solution

The fourth proportional to 6,809.77, 10,214.30 and 4,000.15 is: 6,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.77 : 10,214.30 = 4,000.15 : x
  2. Step 2: Convert to fraction form
    6,809.77/10,214.30 = 4,000.15/x
  3. Step 3: Cross multiply
    6,809.77x = 10,214.30 × 4,000.15
  4. Step 4: Simplify right side
    6,809.77x = 40,858,712.14
  5. Step 5: Solve for x
    x = 40,858,712.14/6,809.77
  6. Step 6: Final answer
    x = 6,000.01

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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.