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Finding the Fourth Proportional to 10,319.85, 14,241.44 and 5,844.47

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Solution

The fourth proportional to 10,319.85, 14,241.44 and 5,844.47 is: 8,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.85 : 14,241.44 = 5,844.47 : x
  2. Step 2: Convert to fraction form
    10,319.85/14,241.44 = 5,844.47/x
  3. Step 3: Cross multiply
    10,319.85x = 14,241.44 × 5,844.47
  4. Step 4: Simplify right side
    10,319.85x = 83,233,612.24
  5. Step 5: Solve for x
    x = 83,233,612.24/10,319.85
  6. Step 6: Final answer
    x = 8,065.39

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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.