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Finding the Fourth Proportional to 11,704.61, 16,151.12 and 6,924.74

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Solution

The fourth proportional to 11,704.61, 16,151.12 and 6,924.74 is: 9,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.61 : 16,151.12 = 6,924.74 : x
  2. Step 2: Convert to fraction form
    11,704.61/16,151.12 = 6,924.74/x
  3. Step 3: Cross multiply
    11,704.61x = 16,151.12 × 6,924.74
  4. Step 4: Simplify right side
    11,704.61x = 111,842,191.33
  5. Step 5: Solve for x
    x = 111,842,191.33/11,704.61
  6. Step 6: Final answer
    x = 9,555.40

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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.