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Finding the Fourth Proportional to 6,811.90, 9,405.67 and 5,491.50

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Solution

The fourth proportional to 6,811.90, 9,405.67 and 5,491.50 is: 7,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.90 : 9,405.67 = 5,491.50 : x
  2. Step 2: Convert to fraction form
    6,811.90/9,405.67 = 5,491.50/x
  3. Step 3: Cross multiply
    6,811.90x = 9,405.67 × 5,491.50
  4. Step 4: Simplify right side
    6,811.90x = 51,651,236.81
  5. Step 5: Solve for x
    x = 51,651,236.81/6,811.90
  6. Step 6: Final answer
    x = 7,582.50

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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.