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Finding the Fourth Proportional to 8,385.36, 11,571.48 and 4,659.60

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Solution

The fourth proportional to 8,385.36, 11,571.48 and 4,659.60 is: 6,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.36 : 11,571.48 = 4,659.60 : x
  2. Step 2: Convert to fraction form
    8,385.36/11,571.48 = 4,659.60/x
  3. Step 3: Cross multiply
    8,385.36x = 11,571.48 × 4,659.60
  4. Step 4: Simplify right side
    8,385.36x = 53,918,468.21
  5. Step 5: Solve for x
    x = 53,918,468.21/8,385.36
  6. Step 6: Final answer
    x = 6,430.07

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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.