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Finding the Fourth Proportional to 8,566.52, 12,840.84 and 4,177.94

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Solution

The fourth proportional to 8,566.52, 12,840.84 and 4,177.94 is: 6,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.52 : 12,840.84 = 4,177.94 : x
  2. Step 2: Convert to fraction form
    8,566.52/12,840.84 = 4,177.94/x
  3. Step 3: Cross multiply
    8,566.52x = 12,840.84 × 4,177.94
  4. Step 4: Simplify right side
    8,566.52x = 53,648,259.07
  5. Step 5: Solve for x
    x = 53,648,259.07/8,566.52
  6. Step 6: Final answer
    x = 6,262.55

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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.