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Finding the Fourth Proportional to 7,309.94, 10,958.75 and 2,925

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Solution

The fourth proportional to 7,309.94, 10,958.75 and 2,925 is: 4,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.94 : 10,958.75 = 2,925 : x
  2. Step 2: Convert to fraction form
    7,309.94/10,958.75 = 2,925/x
  3. Step 3: Cross multiply
    7,309.94x = 10,958.75 × 2,925
  4. Step 4: Simplify right side
    7,309.94x = 32,054,351.06
  5. Step 5: Solve for x
    x = 32,054,351.06/7,309.94
  6. Step 6: Final answer
    x = 4,385.04

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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.