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Finding the Fourth Proportional to 6,511.89, 8,986.34 and 3,527.55

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Solution

The fourth proportional to 6,511.89, 8,986.34 and 3,527.55 is: 4,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.89 : 8,986.34 = 3,527.55 : x
  2. Step 2: Convert to fraction form
    6,511.89/8,986.34 = 3,527.55/x
  3. Step 3: Cross multiply
    6,511.89x = 8,986.34 × 3,527.55
  4. Step 4: Simplify right side
    6,511.89x = 31,699,763.67
  5. Step 5: Solve for x
    x = 31,699,763.67/6,511.89
  6. Step 6: Final answer
    x = 4,867.98

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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.