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Finding the Fourth Proportional to 8,233.94, 11,363.91 and 4,697.84

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Solution

The fourth proportional to 8,233.94, 11,363.91 and 4,697.84 is: 6,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.94 : 11,363.91 = 4,697.84 : x
  2. Step 2: Convert to fraction form
    8,233.94/11,363.91 = 4,697.84/x
  3. Step 3: Cross multiply
    8,233.94x = 11,363.91 × 4,697.84
  4. Step 4: Simplify right side
    8,233.94x = 53,385,830.95
  5. Step 5: Solve for x
    x = 53,385,830.95/8,233.94
  6. Step 6: Final answer
    x = 6,483.63

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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.