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Finding the Fourth Proportional to 10,846.42, 14,973.38 and 8,418.38

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Solution

The fourth proportional to 10,846.42, 14,973.38 and 8,418.38 is: 11,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.42 : 14,973.38 = 8,418.38 : x
  2. Step 2: Convert to fraction form
    10,846.42/14,973.38 = 8,418.38/x
  3. Step 3: Cross multiply
    10,846.42x = 14,973.38 × 8,418.38
  4. Step 4: Simplify right side
    10,846.42x = 126,051,602.72
  5. Step 5: Solve for x
    x = 126,051,602.72/10,846.42
  6. Step 6: Final answer
    x = 11,621.49

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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.