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Finding the Fourth Proportional to 11,641.96, 17,462.62 and 5,068.14

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Solution

The fourth proportional to 11,641.96, 17,462.62 and 5,068.14 is: 7,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.96 : 17,462.62 = 5,068.14 : x
  2. Step 2: Convert to fraction form
    11,641.96/17,462.62 = 5,068.14/x
  3. Step 3: Cross multiply
    11,641.96x = 17,462.62 × 5,068.14
  4. Step 4: Simplify right side
    11,641.96x = 88,503,002.93
  5. Step 5: Solve for x
    x = 88,503,002.93/11,641.96
  6. Step 6: Final answer
    x = 7,602.07

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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.