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Finding the Fourth Proportional to 7,523.01, 11,284.46 and 5,880.94

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Solution

The fourth proportional to 7,523.01, 11,284.46 and 5,880.94 is: 8,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.01 : 11,284.46 = 5,880.94 : x
  2. Step 2: Convert to fraction form
    7,523.01/11,284.46 = 5,880.94/x
  3. Step 3: Cross multiply
    7,523.01x = 11,284.46 × 5,880.94
  4. Step 4: Simplify right side
    7,523.01x = 66,363,229.71
  5. Step 5: Solve for x
    x = 66,363,229.71/7,523.01
  6. Step 6: Final answer
    x = 8,821.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.