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Finding the Fourth Proportional to 8,122.61, 11,205.63 and 4,763.72

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Solution

The fourth proportional to 8,122.61, 11,205.63 and 4,763.72 is: 6,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.61 : 11,205.63 = 4,763.72 : x
  2. Step 2: Convert to fraction form
    8,122.61/11,205.63 = 4,763.72/x
  3. Step 3: Cross multiply
    8,122.61x = 11,205.63 × 4,763.72
  4. Step 4: Simplify right side
    8,122.61x = 53,380,483.74
  5. Step 5: Solve for x
    x = 53,380,483.74/8,122.61
  6. Step 6: Final answer
    x = 6,571.84

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