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Finding the Fourth Proportional to 8,385.20, 11,571.86 and 4,608.50

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Solution

The fourth proportional to 8,385.20, 11,571.86 and 4,608.50 is: 6,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.20 : 11,571.86 = 4,608.50 : x
  2. Step 2: Convert to fraction form
    8,385.20/11,571.86 = 4,608.50/x
  3. Step 3: Cross multiply
    8,385.20x = 11,571.86 × 4,608.50
  4. Step 4: Simplify right side
    8,385.20x = 53,328,931.34
  5. Step 5: Solve for x
    x = 53,328,931.34/8,385.20
  6. Step 6: Final answer
    x = 6,359.89

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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.