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Finding the Fourth Proportional to 8,505.24, 11,736.78 and 4,779

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Solution

The fourth proportional to 8,505.24, 11,736.78 and 4,779 is: 6,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.24 : 11,736.78 = 4,779 : x
  2. Step 2: Convert to fraction form
    8,505.24/11,736.78 = 4,779/x
  3. Step 3: Cross multiply
    8,505.24x = 11,736.78 × 4,779
  4. Step 4: Simplify right side
    8,505.24x = 56,090,071.62
  5. Step 5: Solve for x
    x = 56,090,071.62/8,505.24
  6. Step 6: Final answer
    x = 6,594.77

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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.