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Finding the Fourth Proportional to 7,004.16, 9,664.78 and 4,019.51

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Solution

The fourth proportional to 7,004.16, 9,664.78 and 4,019.51 is: 5,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.16 : 9,664.78 = 4,019.51 : x
  2. Step 2: Convert to fraction form
    7,004.16/9,664.78 = 4,019.51/x
  3. Step 3: Cross multiply
    7,004.16x = 9,664.78 × 4,019.51
  4. Step 4: Simplify right side
    7,004.16x = 38,847,679.86
  5. Step 5: Solve for x
    x = 38,847,679.86/7,004.16
  6. Step 6: Final answer
    x = 5,546.37

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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.