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Finding the Fourth Proportional to 8,355.86, 11,528.24 and 4,768.24

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Solution

The fourth proportional to 8,355.86, 11,528.24 and 4,768.24 is: 6,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.86 : 11,528.24 = 4,768.24 : x
  2. Step 2: Convert to fraction form
    8,355.86/11,528.24 = 4,768.24/x
  3. Step 3: Cross multiply
    8,355.86x = 11,528.24 × 4,768.24
  4. Step 4: Simplify right side
    8,355.86x = 54,969,415.10
  5. Step 5: Solve for x
    x = 54,969,415.10/8,355.86
  6. Step 6: Final answer
    x = 6,578.55

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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.