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Finding the Fourth Proportional to 8,704.94, 13,045.89 and 4,078.22

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Solution

The fourth proportional to 8,704.94, 13,045.89 and 4,078.22 is: 6,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.94 : 13,045.89 = 4,078.22 : x
  2. Step 2: Convert to fraction form
    8,704.94/13,045.89 = 4,078.22/x
  3. Step 3: Cross multiply
    8,704.94x = 13,045.89 × 4,078.22
  4. Step 4: Simplify right side
    8,704.94x = 53,204,009.52
  5. Step 5: Solve for x
    x = 53,204,009.52/8,704.94
  6. Step 6: Final answer
    x = 6,111.93

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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.