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Finding the Fourth Proportional to 37,956.40, 56,928.20 and 11,654

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Solution

The fourth proportional to 37,956.40, 56,928.20 and 11,654 is: 17,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956.40 : 56,928.20 = 11,654 : x
  2. Step 2: Convert to fraction form
    37,956.40/56,928.20 = 11,654/x
  3. Step 3: Cross multiply
    37,956.40x = 56,928.20 × 11,654
  4. Step 4: Simplify right side
    37,956.40x = 663,441,242.80
  5. Step 5: Solve for x
    x = 663,441,242.80/37,956.40
  6. Step 6: Final answer
    x = 17,479.03

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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.