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Finding the Fourth Proportional to 8,505.27, 12,753 and 3,305.07

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Solution

The fourth proportional to 8,505.27, 12,753 and 3,305.07 is: 4,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.27 : 12,753 = 3,305.07 : x
  2. Step 2: Convert to fraction form
    8,505.27/12,753 = 3,305.07/x
  3. Step 3: Cross multiply
    8,505.27x = 12,753 × 3,305.07
  4. Step 4: Simplify right side
    8,505.27x = 42,149,557.71
  5. Step 5: Solve for x
    x = 42,149,557.71/8,505.27
  6. Step 6: Final answer
    x = 4,955.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.