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Finding the Fourth Proportional to 11,713.30, 16,164.47 and 6,408

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Solution

The fourth proportional to 11,713.30, 16,164.47 and 6,408 is: 8,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.30 : 16,164.47 = 6,408 : x
  2. Step 2: Convert to fraction form
    11,713.30/16,164.47 = 6,408/x
  3. Step 3: Cross multiply
    11,713.30x = 16,164.47 × 6,408
  4. Step 4: Simplify right side
    11,713.30x = 103,581,923.76
  5. Step 5: Solve for x
    x = 103,581,923.76/11,713.30
  6. Step 6: Final answer
    x = 8,843.10

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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.