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Finding the Fourth Proportional to 10,339.13, 14,268.06 and 5,623.44

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Solution

The fourth proportional to 10,339.13, 14,268.06 and 5,623.44 is: 7,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.13 : 14,268.06 = 5,623.44 : x
  2. Step 2: Convert to fraction form
    10,339.13/14,268.06 = 5,623.44/x
  3. Step 3: Cross multiply
    10,339.13x = 14,268.06 × 5,623.44
  4. Step 4: Simplify right side
    10,339.13x = 80,235,579.33
  5. Step 5: Solve for x
    x = 80,235,579.33/10,339.13
  6. Step 6: Final answer
    x = 7,760.38

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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.