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Finding the Fourth Proportional to 6,681.38, 10,033.41 and 5,804.96

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Solution

The fourth proportional to 6,681.38, 10,033.41 and 5,804.96 is: 8,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.38 : 10,033.41 = 5,804.96 : x
  2. Step 2: Convert to fraction form
    6,681.38/10,033.41 = 5,804.96/x
  3. Step 3: Cross multiply
    6,681.38x = 10,033.41 × 5,804.96
  4. Step 4: Simplify right side
    6,681.38x = 58,243,543.71
  5. Step 5: Solve for x
    x = 58,243,543.71/6,681.38
  6. Step 6: Final answer
    x = 8,717.29

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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.