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Finding the Fourth Proportional to 10,704.42, 14,768.46 and 6,224.45

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Solution

The fourth proportional to 10,704.42, 14,768.46 and 6,224.45 is: 8,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.42 : 14,768.46 = 6,224.45 : x
  2. Step 2: Convert to fraction form
    10,704.42/14,768.46 = 6,224.45/x
  3. Step 3: Cross multiply
    10,704.42x = 14,768.46 × 6,224.45
  4. Step 4: Simplify right side
    10,704.42x = 91,925,467.00
  5. Step 5: Solve for x
    x = 91,925,467.00/10,704.42
  6. Step 6: Final answer
    x = 8,587.62

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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.