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Finding the Fourth Proportional to 10,159.52, 14,028.79 and 6,389

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Solution

The fourth proportional to 10,159.52, 14,028.79 and 6,389 is: 8,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.52 : 14,028.79 = 6,389 : x
  2. Step 2: Convert to fraction form
    10,159.52/14,028.79 = 6,389/x
  3. Step 3: Cross multiply
    10,159.52x = 14,028.79 × 6,389
  4. Step 4: Simplify right side
    10,159.52x = 89,629,939.31
  5. Step 5: Solve for x
    x = 89,629,939.31/10,159.52
  6. Step 6: Final answer
    x = 8,822.26

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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.