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Finding the Fourth Proportional to 7,782.54, 11,677.24 and 4,083.86

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Solution

The fourth proportional to 7,782.54, 11,677.24 and 4,083.86 is: 6,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.54 : 11,677.24 = 4,083.86 : x
  2. Step 2: Convert to fraction form
    7,782.54/11,677.24 = 4,083.86/x
  3. Step 3: Cross multiply
    7,782.54x = 11,677.24 × 4,083.86
  4. Step 4: Simplify right side
    7,782.54x = 47,688,213.35
  5. Step 5: Solve for x
    x = 47,688,213.35/7,782.54
  6. Step 6: Final answer
    x = 6,127.59

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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.