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Finding the Fourth Proportional to 7,122.83, 10,684.40 and 2,442.80

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Solution

The fourth proportional to 7,122.83, 10,684.40 and 2,442.80 is: 3,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.83 : 10,684.40 = 2,442.80 : x
  2. Step 2: Convert to fraction form
    7,122.83/10,684.40 = 2,442.80/x
  3. Step 3: Cross multiply
    7,122.83x = 10,684.40 × 2,442.80
  4. Step 4: Simplify right side
    7,122.83x = 26,099,866.82
  5. Step 5: Solve for x
    x = 26,099,866.82/7,122.83
  6. Step 6: Final answer
    x = 3,664.26

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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.