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Finding the Fourth Proportional to 7,710.34, 10,634.82 and 4,727.62

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Solution

The fourth proportional to 7,710.34, 10,634.82 and 4,727.62 is: 6,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.34 : 10,634.82 = 4,727.62 : x
  2. Step 2: Convert to fraction form
    7,710.34/10,634.82 = 4,727.62/x
  3. Step 3: Cross multiply
    7,710.34x = 10,634.82 × 4,727.62
  4. Step 4: Simplify right side
    7,710.34x = 50,277,387.73
  5. Step 5: Solve for x
    x = 50,277,387.73/7,710.34
  6. Step 6: Final answer
    x = 6,520.77

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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.