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Finding the Fourth Proportional to 8,635.50, 11,917.53 and 4,909.50

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Solution

The fourth proportional to 8,635.50, 11,917.53 and 4,909.50 is: 6,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.50 : 11,917.53 = 4,909.50 : x
  2. Step 2: Convert to fraction form
    8,635.50/11,917.53 = 4,909.50/x
  3. Step 3: Cross multiply
    8,635.50x = 11,917.53 × 4,909.50
  4. Step 4: Simplify right side
    8,635.50x = 58,509,113.54
  5. Step 5: Solve for x
    x = 58,509,113.54/8,635.50
  6. Step 6: Final answer
    x = 6,775.42

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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.