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Finding the Fourth Proportional to 37,812.84, 56,722.40 and 11,517.80

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Solution

The fourth proportional to 37,812.84, 56,722.40 and 11,517.80 is: 17,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812.84 : 56,722.40 = 11,517.80 : x
  2. Step 2: Convert to fraction form
    37,812.84/56,722.40 = 11,517.80/x
  3. Step 3: Cross multiply
    37,812.84x = 56,722.40 × 11,517.80
  4. Step 4: Simplify right side
    37,812.84x = 653,317,258.72
  5. Step 5: Solve for x
    x = 653,317,258.72/37,812.84
  6. Step 6: Final answer
    x = 17,277.66

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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.