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Finding the Fourth Proportional to 11,588.33, 17,405.75 and 6,917.47

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Solution

The fourth proportional to 11,588.33, 17,405.75 and 6,917.47 is: 10,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.33 : 17,405.75 = 6,917.47 : x
  2. Step 2: Convert to fraction form
    11,588.33/17,405.75 = 6,917.47/x
  3. Step 3: Cross multiply
    11,588.33x = 17,405.75 × 6,917.47
  4. Step 4: Simplify right side
    11,588.33x = 120,403,727.23
  5. Step 5: Solve for x
    x = 120,403,727.23/11,588.33
  6. Step 6: Final answer
    x = 10,390.08

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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.