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Finding the Fourth Proportional to 11,705.01, 17,573.86 and 6,009.96

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Solution

The fourth proportional to 11,705.01, 17,573.86 and 6,009.96 is: 9,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.01 : 17,573.86 = 6,009.96 : x
  2. Step 2: Convert to fraction form
    11,705.01/17,573.86 = 6,009.96/x
  3. Step 3: Cross multiply
    11,705.01x = 17,573.86 × 6,009.96
  4. Step 4: Simplify right side
    11,705.01x = 105,618,269.06
  5. Step 5: Solve for x
    x = 105,618,269.06/11,705.01
  6. Step 6: Final answer
    x = 9,023.34

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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.