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Finding the Fourth Proportional to 10,367.70, 14,300.13 and 6,387.54

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Solution

The fourth proportional to 10,367.70, 14,300.13 and 6,387.54 is: 8,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.70 : 14,300.13 = 6,387.54 : x
  2. Step 2: Convert to fraction form
    10,367.70/14,300.13 = 6,387.54/x
  3. Step 3: Cross multiply
    10,367.70x = 14,300.13 × 6,387.54
  4. Step 4: Simplify right side
    10,367.70x = 91,342,652.38
  5. Step 5: Solve for x
    x = 91,342,652.38/10,367.70
  6. Step 6: Final answer
    x = 8,810.31

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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.