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Finding the Fourth Proportional to 29,784, 44,676 and 7,896

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Solution

The fourth proportional to 29,784, 44,676 and 7,896 is: 11,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784 : 44,676 = 7,896 : x
  2. Step 2: Convert to fraction form
    29,784/44,676 = 7,896/x
  3. Step 3: Cross multiply
    29,784x = 44,676 × 7,896
  4. Step 4: Simplify right side
    29,784x = 352,761,696
  5. Step 5: Solve for x
    x = 352,761,696/29,784
  6. Step 6: Final answer
    x = 11,844

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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.