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Finding the Fourth Proportional to 7,347.98, 11,020.94 and 2,964.41

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Solution

The fourth proportional to 7,347.98, 11,020.94 and 2,964.41 is: 4,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.98 : 11,020.94 = 2,964.41 : x
  2. Step 2: Convert to fraction form
    7,347.98/11,020.94 = 2,964.41/x
  3. Step 3: Cross multiply
    7,347.98x = 11,020.94 × 2,964.41
  4. Step 4: Simplify right side
    7,347.98x = 32,670,593.18
  5. Step 5: Solve for x
    x = 32,670,593.18/7,347.98
  6. Step 6: Final answer
    x = 4,446.20

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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.