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Finding the Fourth Proportional to 7,722.54, 11,583.81 and 3,337.30

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Solution

The fourth proportional to 7,722.54, 11,583.81 and 3,337.30 is: 5,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.54 : 11,583.81 = 3,337.30 : x
  2. Step 2: Convert to fraction form
    7,722.54/11,583.81 = 3,337.30/x
  3. Step 3: Cross multiply
    7,722.54x = 11,583.81 × 3,337.30
  4. Step 4: Simplify right side
    7,722.54x = 38,658,663.59
  5. Step 5: Solve for x
    x = 38,658,663.59/7,722.54
  6. Step 6: Final answer
    x = 5,005.95

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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.