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Finding the Fourth Proportional to 8,509.54, 11,743.24 and 4,783.54

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Solution

The fourth proportional to 8,509.54, 11,743.24 and 4,783.54 is: 6,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.54 : 11,743.24 = 4,783.54 : x
  2. Step 2: Convert to fraction form
    8,509.54/11,743.24 = 4,783.54/x
  3. Step 3: Cross multiply
    8,509.54x = 11,743.24 × 4,783.54
  4. Step 4: Simplify right side
    8,509.54x = 56,174,258.27
  5. Step 5: Solve for x
    x = 56,174,258.27/8,509.54
  6. Step 6: Final answer
    x = 6,601.33

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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.