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Finding the Fourth Proportional to 10,374.81, 14,316.73 and 6,348.33

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Solution

The fourth proportional to 10,374.81, 14,316.73 and 6,348.33 is: 8,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.81 : 14,316.73 = 6,348.33 : x
  2. Step 2: Convert to fraction form
    10,374.81/14,316.73 = 6,348.33/x
  3. Step 3: Cross multiply
    10,374.81x = 14,316.73 × 6,348.33
  4. Step 4: Simplify right side
    10,374.81x = 90,887,326.56
  5. Step 5: Solve for x
    x = 90,887,326.56/10,374.81
  6. Step 6: Final answer
    x = 8,760.38

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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.