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Finding the Fourth Proportional to 11,677.86, 17,516.34 and 7,953.48

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Solution

The fourth proportional to 11,677.86, 17,516.34 and 7,953.48 is: 11,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.86 : 17,516.34 = 7,953.48 : x
  2. Step 2: Convert to fraction form
    11,677.86/17,516.34 = 7,953.48/x
  3. Step 3: Cross multiply
    11,677.86x = 17,516.34 × 7,953.48
  4. Step 4: Simplify right side
    11,677.86x = 139,315,859.86
  5. Step 5: Solve for x
    x = 139,315,859.86/11,677.86
  6. Step 6: Final answer
    x = 11,929.91

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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.