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Finding the Fourth Proportional to 11,622.69, 16,036.61 and 7,852.86

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Solution

The fourth proportional to 11,622.69, 16,036.61 and 7,852.86 is: 10,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.69 : 16,036.61 = 7,852.86 : x
  2. Step 2: Convert to fraction form
    11,622.69/16,036.61 = 7,852.86/x
  3. Step 3: Cross multiply
    11,622.69x = 16,036.61 × 7,852.86
  4. Step 4: Simplify right side
    11,622.69x = 125,933,213.94
  5. Step 5: Solve for x
    x = 125,933,213.94/11,622.69
  6. Step 6: Final answer
    x = 10,835.12

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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.