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Finding the Fourth Proportional to 7,608.48, 10,491 and 6,188.28

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Solution

The fourth proportional to 7,608.48, 10,491 and 6,188.28 is: 8,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.48 : 10,491 = 6,188.28 : x
  2. Step 2: Convert to fraction form
    7,608.48/10,491 = 6,188.28/x
  3. Step 3: Cross multiply
    7,608.48x = 10,491 × 6,188.28
  4. Step 4: Simplify right side
    7,608.48x = 64,921,245.48
  5. Step 5: Solve for x
    x = 64,921,245.48/7,608.48
  6. Step 6: Final answer
    x = 8,532.75

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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.