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Finding the Fourth Proportional to 11,798.88, 17,704.47 and 4,784.08

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Solution

The fourth proportional to 11,798.88, 17,704.47 and 4,784.08 is: 7,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.88 : 17,704.47 = 4,784.08 : x
  2. Step 2: Convert to fraction form
    11,798.88/17,704.47 = 4,784.08/x
  3. Step 3: Cross multiply
    11,798.88x = 17,704.47 × 4,784.08
  4. Step 4: Simplify right side
    11,798.88x = 84,699,568.54
  5. Step 5: Solve for x
    x = 84,699,568.54/11,798.88
  6. Step 6: Final answer
    x = 7,178.61

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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.