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Finding the Fourth Proportional to 6,804.46, 10,206.69 and 4,333.15

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Solution

The fourth proportional to 6,804.46, 10,206.69 and 4,333.15 is: 6,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.46 : 10,206.69 = 4,333.15 : x
  2. Step 2: Convert to fraction form
    6,804.46/10,206.69 = 4,333.15/x
  3. Step 3: Cross multiply
    6,804.46x = 10,206.69 × 4,333.15
  4. Step 4: Simplify right side
    6,804.46x = 44,227,118.77
  5. Step 5: Solve for x
    x = 44,227,118.77/6,804.46
  6. Step 6: Final answer
    x = 6,499.73

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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.