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Finding the Fourth Proportional to 10,141.06, 13,994.91 and 6,364.39

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Solution

The fourth proportional to 10,141.06, 13,994.91 and 6,364.39 is: 8,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.06 : 13,994.91 = 6,364.39 : x
  2. Step 2: Convert to fraction form
    10,141.06/13,994.91 = 6,364.39/x
  3. Step 3: Cross multiply
    10,141.06x = 13,994.91 × 6,364.39
  4. Step 4: Simplify right side
    10,141.06x = 89,069,065.25
  5. Step 5: Solve for x
    x = 89,069,065.25/10,141.06
  6. Step 6: Final answer
    x = 8,783.01

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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.