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Finding the Fourth Proportional to 7,306, 10,959.04 and 1,834

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Solution

The fourth proportional to 7,306, 10,959.04 and 1,834 is: 2,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306 : 10,959.04 = 1,834 : x
  2. Step 2: Convert to fraction form
    7,306/10,959.04 = 1,834/x
  3. Step 3: Cross multiply
    7,306x = 10,959.04 × 1,834
  4. Step 4: Simplify right side
    7,306x = 20,098,879.36
  5. Step 5: Solve for x
    x = 20,098,879.36/7,306
  6. Step 6: Final answer
    x = 2,751.01

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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.