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Finding the Fourth Proportional to 11,870.94, 17,807.43 and 3,105.84

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Solution

The fourth proportional to 11,870.94, 17,807.43 and 3,105.84 is: 4,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.94 : 17,807.43 = 3,105.84 : x
  2. Step 2: Convert to fraction form
    11,870.94/17,807.43 = 3,105.84/x
  3. Step 3: Cross multiply
    11,870.94x = 17,807.43 × 3,105.84
  4. Step 4: Simplify right side
    11,870.94x = 55,307,089.35
  5. Step 5: Solve for x
    x = 55,307,089.35/11,870.94
  6. Step 6: Final answer
    x = 4,659.03

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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.