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Finding the Fourth Proportional to 7,330, 10,116.04 and 4,018.64

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Solution

The fourth proportional to 7,330, 10,116.04 and 4,018.64 is: 5,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330 : 10,116.04 = 4,018.64 : x
  2. Step 2: Convert to fraction form
    7,330/10,116.04 = 4,018.64/x
  3. Step 3: Cross multiply
    7,330x = 10,116.04 × 4,018.64
  4. Step 4: Simplify right side
    7,330x = 40,652,722.99
  5. Step 5: Solve for x
    x = 40,652,722.99/7,330
  6. Step 6: Final answer
    x = 5,546.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.