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Finding the Fourth Proportional to 8,092.37, 12,148.72 and 7,718.42

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Solution

The fourth proportional to 8,092.37, 12,148.72 and 7,718.42 is: 11,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.37 : 12,148.72 = 7,718.42 : x
  2. Step 2: Convert to fraction form
    8,092.37/12,148.72 = 7,718.42/x
  3. Step 3: Cross multiply
    8,092.37x = 12,148.72 × 7,718.42
  4. Step 4: Simplify right side
    8,092.37x = 93,768,934.50
  5. Step 5: Solve for x
    x = 93,768,934.50/8,092.37
  6. Step 6: Final answer
    x = 11,587.32

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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.