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Finding the Fourth Proportional to 11,588.68, 15,994.82 and 7,396.20

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Solution

The fourth proportional to 11,588.68, 15,994.82 and 7,396.20 is: 10,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.68 : 15,994.82 = 7,396.20 : x
  2. Step 2: Convert to fraction form
    11,588.68/15,994.82 = 7,396.20/x
  3. Step 3: Cross multiply
    11,588.68x = 15,994.82 × 7,396.20
  4. Step 4: Simplify right side
    11,588.68x = 118,300,887.68
  5. Step 5: Solve for x
    x = 118,300,887.68/11,588.68
  6. Step 6: Final answer
    x = 10,208.31

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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.