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Finding the Fourth Proportional to 8,455.86, 11,669.49 and 4,729.14

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Solution

The fourth proportional to 8,455.86, 11,669.49 and 4,729.14 is: 6,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.86 : 11,669.49 = 4,729.14 : x
  2. Step 2: Convert to fraction form
    8,455.86/11,669.49 = 4,729.14/x
  3. Step 3: Cross multiply
    8,455.86x = 11,669.49 × 4,729.14
  4. Step 4: Simplify right side
    8,455.86x = 55,186,651.94
  5. Step 5: Solve for x
    x = 55,186,651.94/8,455.86
  6. Step 6: Final answer
    x = 6,526.44

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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.