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Finding the Fourth Proportional to 6,807.34, 10,215.33 and 3,689.47

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Solution

The fourth proportional to 6,807.34, 10,215.33 and 3,689.47 is: 5,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.34 : 10,215.33 = 3,689.47 : x
  2. Step 2: Convert to fraction form
    6,807.34/10,215.33 = 3,689.47/x
  3. Step 3: Cross multiply
    6,807.34x = 10,215.33 × 3,689.47
  4. Step 4: Simplify right side
    6,807.34x = 37,689,153.58
  5. Step 5: Solve for x
    x = 37,689,153.58/6,807.34
  6. Step 6: Final answer
    x = 5,536.55

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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.