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Finding the Fourth Proportional to 6,866.93, 10,281.94 and 5,649.04

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Solution

The fourth proportional to 6,866.93, 10,281.94 and 5,649.04 is: 8,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.93 : 10,281.94 = 5,649.04 : x
  2. Step 2: Convert to fraction form
    6,866.93/10,281.94 = 5,649.04/x
  3. Step 3: Cross multiply
    6,866.93x = 10,281.94 × 5,649.04
  4. Step 4: Simplify right side
    6,866.93x = 58,083,089.07
  5. Step 5: Solve for x
    x = 58,083,089.07/6,866.93
  6. Step 6: Final answer
    x = 8,458.38

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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.