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Finding the Fourth Proportional to 6,586.87, 9,087.33 and 4,064.60

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Solution

The fourth proportional to 6,586.87, 9,087.33 and 4,064.60 is: 5,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.87 : 9,087.33 = 4,064.60 : x
  2. Step 2: Convert to fraction form
    6,586.87/9,087.33 = 4,064.60/x
  3. Step 3: Cross multiply
    6,586.87x = 9,087.33 × 4,064.60
  4. Step 4: Simplify right side
    6,586.87x = 36,936,316.08
  5. Step 5: Solve for x
    x = 36,936,316.08/6,586.87
  6. Step 6: Final answer
    x = 5,607.57

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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.