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Finding the Fourth Proportional to 7,309.14, 10,951.40 and 4,024.54

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Solution

The fourth proportional to 7,309.14, 10,951.40 and 4,024.54 is: 6,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.14 : 10,951.40 = 4,024.54 : x
  2. Step 2: Convert to fraction form
    7,309.14/10,951.40 = 4,024.54/x
  3. Step 3: Cross multiply
    7,309.14x = 10,951.40 × 4,024.54
  4. Step 4: Simplify right side
    7,309.14x = 44,074,309.50
  5. Step 5: Solve for x
    x = 44,074,309.50/7,309.14
  6. Step 6: Final answer
    x = 6,030.03

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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.