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Finding the Fourth Proportional to 8,745.92, 12,069.62 and 4,767.29

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Solution

The fourth proportional to 8,745.92, 12,069.62 and 4,767.29 is: 6,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745.92 : 12,069.62 = 4,767.29 : x
  2. Step 2: Convert to fraction form
    8,745.92/12,069.62 = 4,767.29/x
  3. Step 3: Cross multiply
    8,745.92x = 12,069.62 × 4,767.29
  4. Step 4: Simplify right side
    8,745.92x = 57,539,360.47
  5. Step 5: Solve for x
    x = 57,539,360.47/8,745.92
  6. Step 6: Final answer
    x = 6,579.00

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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.