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Finding the Fourth Proportional to 6,586.50, 9,040.96 and 5,823.74

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Solution

The fourth proportional to 6,586.50, 9,040.96 and 5,823.74 is: 7,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.50 : 9,040.96 = 5,823.74 : x
  2. Step 2: Convert to fraction form
    6,586.50/9,040.96 = 5,823.74/x
  3. Step 3: Cross multiply
    6,586.50x = 9,040.96 × 5,823.74
  4. Step 4: Simplify right side
    6,586.50x = 52,652,200.39
  5. Step 5: Solve for x
    x = 52,652,200.39/6,586.50
  6. Step 6: Final answer
    x = 7,993.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.