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Finding the Fourth Proportional to 8,076.12, 11,146.04 and 4,539.25

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Solution

The fourth proportional to 8,076.12, 11,146.04 and 4,539.25 is: 6,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.12 : 11,146.04 = 4,539.25 : x
  2. Step 2: Convert to fraction form
    8,076.12/11,146.04 = 4,539.25/x
  3. Step 3: Cross multiply
    8,076.12x = 11,146.04 × 4,539.25
  4. Step 4: Simplify right side
    8,076.12x = 50,594,662.07
  5. Step 5: Solve for x
    x = 50,594,662.07/8,076.12
  6. Step 6: Final answer
    x = 6,264.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.