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Finding the Fourth Proportional to 7,313.50, 10,971.84 and 3,415.78

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Solution

The fourth proportional to 7,313.50, 10,971.84 and 3,415.78 is: 5,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.50 : 10,971.84 = 3,415.78 : x
  2. Step 2: Convert to fraction form
    7,313.50/10,971.84 = 3,415.78/x
  3. Step 3: Cross multiply
    7,313.50x = 10,971.84 × 3,415.78
  4. Step 4: Simplify right side
    7,313.50x = 37,477,391.64
  5. Step 5: Solve for x
    x = 37,477,391.64/7,313.50
  6. Step 6: Final answer
    x = 5,124.41

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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.