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Finding the Fourth Proportional to 11,378.84, 15,704.08 and 6,343.52

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Solution

The fourth proportional to 11,378.84, 15,704.08 and 6,343.52 is: 8,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.84 : 15,704.08 = 6,343.52 : x
  2. Step 2: Convert to fraction form
    11,378.84/15,704.08 = 6,343.52/x
  3. Step 3: Cross multiply
    11,378.84x = 15,704.08 × 6,343.52
  4. Step 4: Simplify right side
    11,378.84x = 99,619,145.56
  5. Step 5: Solve for x
    x = 99,619,145.56/11,378.84
  6. Step 6: Final answer
    x = 8,754.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.