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Finding the Fourth Proportional to 8,546.94, 12,828.62 and 4,167.47

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Solution

The fourth proportional to 8,546.94, 12,828.62 and 4,167.47 is: 6,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.94 : 12,828.62 = 4,167.47 : x
  2. Step 2: Convert to fraction form
    8,546.94/12,828.62 = 4,167.47/x
  3. Step 3: Cross multiply
    8,546.94x = 12,828.62 × 4,167.47
  4. Step 4: Simplify right side
    8,546.94x = 53,462,931.48
  5. Step 5: Solve for x
    x = 53,462,931.48/8,546.94
  6. Step 6: Final answer
    x = 6,255.21

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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.