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Finding the Fourth Proportional to 11,557.14, 17,364.24 and 7,398.96

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Solution

The fourth proportional to 11,557.14, 17,364.24 and 7,398.96 is: 11,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.14 : 17,364.24 = 7,398.96 : x
  2. Step 2: Convert to fraction form
    11,557.14/17,364.24 = 7,398.96/x
  3. Step 3: Cross multiply
    11,557.14x = 17,364.24 × 7,398.96
  4. Step 4: Simplify right side
    11,557.14x = 128,477,317.19
  5. Step 5: Solve for x
    x = 128,477,317.19/11,557.14
  6. Step 6: Final answer
    x = 11,116.71

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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.