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Finding the Fourth Proportional to 11,804.92, 17,705.88 and 5,959

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Solution

The fourth proportional to 11,804.92, 17,705.88 and 5,959 is: 8,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.92 : 17,705.88 = 5,959 : x
  2. Step 2: Convert to fraction form
    11,804.92/17,705.88 = 5,959/x
  3. Step 3: Cross multiply
    11,804.92x = 17,705.88 × 5,959
  4. Step 4: Simplify right side
    11,804.92x = 105,509,338.92
  5. Step 5: Solve for x
    x = 105,509,338.92/11,804.92
  6. Step 6: Final answer
    x = 8,937.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.