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Finding the Fourth Proportional to 11,875.10, 17,797.59 and 5,954.27

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Solution

The fourth proportional to 11,875.10, 17,797.59 and 5,954.27 is: 8,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.10 : 17,797.59 = 5,954.27 : x
  2. Step 2: Convert to fraction form
    11,875.10/17,797.59 = 5,954.27/x
  3. Step 3: Cross multiply
    11,875.10x = 17,797.59 × 5,954.27
  4. Step 4: Simplify right side
    11,875.10x = 105,971,567.22
  5. Step 5: Solve for x
    x = 105,971,567.22/11,875.10
  6. Step 6: Final answer
    x = 8,923.85

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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.