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Finding the Fourth Proportional to 7,580.88, 11,363.94 and 3,884.82

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Solution

The fourth proportional to 7,580.88, 11,363.94 and 3,884.82 is: 5,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.88 : 11,363.94 = 3,884.82 : x
  2. Step 2: Convert to fraction form
    7,580.88/11,363.94 = 3,884.82/x
  3. Step 3: Cross multiply
    7,580.88x = 11,363.94 × 3,884.82
  4. Step 4: Simplify right side
    7,580.88x = 44,146,861.39
  5. Step 5: Solve for x
    x = 44,146,861.39/7,580.88
  6. Step 6: Final answer
    x = 5,823.45

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Why These Related Problems?

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