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Finding the Fourth Proportional to 11,159.19, 15,401.70 and 6,682.01

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Solution

The fourth proportional to 11,159.19, 15,401.70 and 6,682.01 is: 9,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.19 : 15,401.70 = 6,682.01 : x
  2. Step 2: Convert to fraction form
    11,159.19/15,401.70 = 6,682.01/x
  3. Step 3: Cross multiply
    11,159.19x = 15,401.70 × 6,682.01
  4. Step 4: Simplify right side
    11,159.19x = 102,914,236.41
  5. Step 5: Solve for x
    x = 102,914,236.41/11,159.19
  6. Step 6: Final answer
    x = 9,222.38

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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.