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Finding the Fourth Proportional to 8,354.69, 11,529.47 and 4,997.64

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Solution

The fourth proportional to 8,354.69, 11,529.47 and 4,997.64 is: 6,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.69 : 11,529.47 = 4,997.64 : x
  2. Step 2: Convert to fraction form
    8,354.69/11,529.47 = 4,997.64/x
  3. Step 3: Cross multiply
    8,354.69x = 11,529.47 × 4,997.64
  4. Step 4: Simplify right side
    8,354.69x = 57,620,140.45
  5. Step 5: Solve for x
    x = 57,620,140.45/8,354.69
  6. Step 6: Final answer
    x = 6,896.74

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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.