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Finding the Fourth Proportional to 11,679.54, 16,117.38 and 6,643.50

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Solution

The fourth proportional to 11,679.54, 16,117.38 and 6,643.50 is: 9,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.54 : 16,117.38 = 6,643.50 : x
  2. Step 2: Convert to fraction form
    11,679.54/16,117.38 = 6,643.50/x
  3. Step 3: Cross multiply
    11,679.54x = 16,117.38 × 6,643.50
  4. Step 4: Simplify right side
    11,679.54x = 107,075,814.03
  5. Step 5: Solve for x
    x = 107,075,814.03/11,679.54
  6. Step 6: Final answer
    x = 9,167.81

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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.