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Finding the Fourth Proportional to 6,926.91, 10,369.35 and 4,463.49

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Solution

The fourth proportional to 6,926.91, 10,369.35 and 4,463.49 is: 6,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.91 : 10,369.35 = 4,463.49 : x
  2. Step 2: Convert to fraction form
    6,926.91/10,369.35 = 4,463.49/x
  3. Step 3: Cross multiply
    6,926.91x = 10,369.35 × 4,463.49
  4. Step 4: Simplify right side
    6,926.91x = 46,283,490.03
  5. Step 5: Solve for x
    x = 46,283,490.03/6,926.91
  6. Step 6: Final answer
    x = 6,681.69

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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.