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Finding the Fourth Proportional to 10,366, 14,305.70 and 5,889.94

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Solution

The fourth proportional to 10,366, 14,305.70 and 5,889.94 is: 8,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 14,305.70 = 5,889.94 : x
  2. Step 2: Convert to fraction form
    10,366/14,305.70 = 5,889.94/x
  3. Step 3: Cross multiply
    10,366x = 14,305.70 × 5,889.94
  4. Step 4: Simplify right side
    10,366x = 84,259,714.66
  5. Step 5: Solve for x
    x = 84,259,714.66/10,366
  6. Step 6: Final answer
    x = 8,128.47

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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.