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Finding the Fourth Proportional to 10,364.81, 14,303.52 and 5,649.39

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Solution

The fourth proportional to 10,364.81, 14,303.52 and 5,649.39 is: 7,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.81 : 14,303.52 = 5,649.39 : x
  2. Step 2: Convert to fraction form
    10,364.81/14,303.52 = 5,649.39/x
  3. Step 3: Cross multiply
    10,364.81x = 14,303.52 × 5,649.39
  4. Step 4: Simplify right side
    10,364.81x = 80,806,162.85
  5. Step 5: Solve for x
    x = 80,806,162.85/10,364.81
  6. Step 6: Final answer
    x = 7,796.21

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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.