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Finding the Fourth Proportional to 8,093.01, 12,141.25 and 4,584.68

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Solution

The fourth proportional to 8,093.01, 12,141.25 and 4,584.68 is: 6,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.01 : 12,141.25 = 4,584.68 : x
  2. Step 2: Convert to fraction form
    8,093.01/12,141.25 = 4,584.68/x
  3. Step 3: Cross multiply
    8,093.01x = 12,141.25 × 4,584.68
  4. Step 4: Simplify right side
    8,093.01x = 55,663,746.05
  5. Step 5: Solve for x
    x = 55,663,746.05/8,093.01
  6. Step 6: Final answer
    x = 6,878.00

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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.