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Finding the Fourth Proportional to 11,594.20, 15,998.82 and 7,118.14

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Solution

The fourth proportional to 11,594.20, 15,998.82 and 7,118.14 is: 9,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.20 : 15,998.82 = 7,118.14 : x
  2. Step 2: Convert to fraction form
    11,594.20/15,998.82 = 7,118.14/x
  3. Step 3: Cross multiply
    11,594.20x = 15,998.82 × 7,118.14
  4. Step 4: Simplify right side
    11,594.20x = 113,881,840.59
  5. Step 5: Solve for x
    x = 113,881,840.59/11,594.20
  6. Step 6: Final answer
    x = 9,822.31

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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.