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Finding the Fourth Proportional to 11,568.83, 17,356.89 and 3,775.82

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Solution

The fourth proportional to 11,568.83, 17,356.89 and 3,775.82 is: 5,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.83 : 17,356.89 = 3,775.82 : x
  2. Step 2: Convert to fraction form
    11,568.83/17,356.89 = 3,775.82/x
  3. Step 3: Cross multiply
    11,568.83x = 17,356.89 × 3,775.82
  4. Step 4: Simplify right side
    11,568.83x = 65,536,492.40
  5. Step 5: Solve for x
    x = 65,536,492.40/11,568.83
  6. Step 6: Final answer
    x = 5,664.92

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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.