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Finding the Fourth Proportional to 8,442.36, 11,649.42 and 5,458.86

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Solution

The fourth proportional to 8,442.36, 11,649.42 and 5,458.86 is: 7,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.36 : 11,649.42 = 5,458.86 : x
  2. Step 2: Convert to fraction form
    8,442.36/11,649.42 = 5,458.86/x
  3. Step 3: Cross multiply
    8,442.36x = 11,649.42 × 5,458.86
  4. Step 4: Simplify right side
    8,442.36x = 63,592,552.86
  5. Step 5: Solve for x
    x = 63,592,552.86/8,442.36
  6. Step 6: Final answer
    x = 7,532.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.