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Finding the Fourth Proportional to 6,423.09, 8,860.68 and 5,004.24

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Solution

The fourth proportional to 6,423.09, 8,860.68 and 5,004.24 is: 6,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.09 : 8,860.68 = 5,004.24 : x
  2. Step 2: Convert to fraction form
    6,423.09/8,860.68 = 5,004.24/x
  3. Step 3: Cross multiply
    6,423.09x = 8,860.68 × 5,004.24
  4. Step 4: Simplify right side
    6,423.09x = 44,340,969.28
  5. Step 5: Solve for x
    x = 44,340,969.28/6,423.09
  6. Step 6: Final answer
    x = 6,903.37

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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.