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Finding the Fourth Proportional to 8,159.70, 12,239.12 and 4,784.37

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Solution

The fourth proportional to 8,159.70, 12,239.12 and 4,784.37 is: 7,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.70 : 12,239.12 = 4,784.37 : x
  2. Step 2: Convert to fraction form
    8,159.70/12,239.12 = 4,784.37/x
  3. Step 3: Cross multiply
    8,159.70x = 12,239.12 × 4,784.37
  4. Step 4: Simplify right side
    8,159.70x = 58,556,393.44
  5. Step 5: Solve for x
    x = 58,556,393.44/8,159.70
  6. Step 6: Final answer
    x = 7,176.30

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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.