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Finding the Fourth Proportional to 6,904.65, 10,351.17 and 3,006.12

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Solution

The fourth proportional to 6,904.65, 10,351.17 and 3,006.12 is: 4,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.65 : 10,351.17 = 3,006.12 : x
  2. Step 2: Convert to fraction form
    6,904.65/10,351.17 = 3,006.12/x
  3. Step 3: Cross multiply
    6,904.65x = 10,351.17 × 3,006.12
  4. Step 4: Simplify right side
    6,904.65x = 31,116,859.16
  5. Step 5: Solve for x
    x = 31,116,859.16/6,904.65
  6. Step 6: Final answer
    x = 4,506.65

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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.