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Finding the Fourth Proportional to 11,798.32, 17,699.76 and 4,006.96

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Solution

The fourth proportional to 11,798.32, 17,699.76 and 4,006.96 is: 6,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.32 : 17,699.76 = 4,006.96 : x
  2. Step 2: Convert to fraction form
    11,798.32/17,699.76 = 4,006.96/x
  3. Step 3: Cross multiply
    11,798.32x = 17,699.76 × 4,006.96
  4. Step 4: Simplify right side
    11,798.32x = 70,922,230.33
  5. Step 5: Solve for x
    x = 70,922,230.33/11,798.32
  6. Step 6: Final answer
    x = 6,011.21

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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.