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Finding the Fourth Proportional to 11,854.14, 17,773.89 and 5,610.30

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Solution

The fourth proportional to 11,854.14, 17,773.89 and 5,610.30 is: 8,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.14 : 17,773.89 = 5,610.30 : x
  2. Step 2: Convert to fraction form
    11,854.14/17,773.89 = 5,610.30/x
  3. Step 3: Cross multiply
    11,854.14x = 17,773.89 × 5,610.30
  4. Step 4: Simplify right side
    11,854.14x = 99,716,855.07
  5. Step 5: Solve for x
    x = 99,716,855.07/11,854.14
  6. Step 6: Final answer
    x = 8,411.99

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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.