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Finding the Fourth Proportional to 11,805.14, 17,705.39 and 5,875.94

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Solution

The fourth proportional to 11,805.14, 17,705.39 and 5,875.94 is: 8,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.14 : 17,705.39 = 5,875.94 : x
  2. Step 2: Convert to fraction form
    11,805.14/17,705.39 = 5,875.94/x
  3. Step 3: Cross multiply
    11,805.14x = 17,705.39 × 5,875.94
  4. Step 4: Simplify right side
    11,805.14x = 104,035,824.20
  5. Step 5: Solve for x
    x = 104,035,824.20/11,805.14
  6. Step 6: Final answer
    x = 8,812.75

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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.