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Finding the Fourth Proportional to 7,704.94, 10,634.12 and 4,348.70

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Solution

The fourth proportional to 7,704.94, 10,634.12 and 4,348.70 is: 6,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.94 : 10,634.12 = 4,348.70 : x
  2. Step 2: Convert to fraction form
    7,704.94/10,634.12 = 4,348.70/x
  3. Step 3: Cross multiply
    7,704.94x = 10,634.12 × 4,348.70
  4. Step 4: Simplify right side
    7,704.94x = 46,244,597.64
  5. Step 5: Solve for x
    x = 46,244,597.64/7,704.94
  6. Step 6: Final answer
    x = 6,001.94

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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.