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Finding the Fourth Proportional to 11,106.72, 16,672.08 and 6,444

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Solution

The fourth proportional to 11,106.72, 16,672.08 and 6,444 is: 9,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.72 : 16,672.08 = 6,444 : x
  2. Step 2: Convert to fraction form
    11,106.72/16,672.08 = 6,444/x
  3. Step 3: Cross multiply
    11,106.72x = 16,672.08 × 6,444
  4. Step 4: Simplify right side
    11,106.72x = 107,434,883.52
  5. Step 5: Solve for x
    x = 107,434,883.52/11,106.72
  6. Step 6: Final answer
    x = 9,672.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.