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Finding the Fourth Proportional to 7,706.34, 10,634.69 and 4,349.09

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Solution

The fourth proportional to 7,706.34, 10,634.69 and 4,349.09 is: 6,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.34 : 10,634.69 = 4,349.09 : x
  2. Step 2: Convert to fraction form
    7,706.34/10,634.69 = 4,349.09/x
  3. Step 3: Cross multiply
    7,706.34x = 10,634.69 × 4,349.09
  4. Step 4: Simplify right side
    7,706.34x = 46,251,261.39
  5. Step 5: Solve for x
    x = 46,251,261.39/7,706.34
  6. Step 6: Final answer
    x = 6,001.72

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Why These Related Problems?

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