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Finding the Fourth Proportional to 8,374.86, 11,557.32 and 4,648.86

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Solution

The fourth proportional to 8,374.86, 11,557.32 and 4,648.86 is: 6,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.86 : 11,557.32 = 4,648.86 : x
  2. Step 2: Convert to fraction form
    8,374.86/11,557.32 = 4,648.86/x
  3. Step 3: Cross multiply
    8,374.86x = 11,557.32 × 4,648.86
  4. Step 4: Simplify right side
    8,374.86x = 53,728,362.66
  5. Step 5: Solve for x
    x = 53,728,362.66/8,374.86
  6. Step 6: Final answer
    x = 6,415.43

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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.