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Finding the Fourth Proportional to 10,618.44, 14,653.92 and 6,142.38

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Solution

The fourth proportional to 10,618.44, 14,653.92 and 6,142.38 is: 8,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.44 : 14,653.92 = 6,142.38 : x
  2. Step 2: Convert to fraction form
    10,618.44/14,653.92 = 6,142.38/x
  3. Step 3: Cross multiply
    10,618.44x = 14,653.92 × 6,142.38
  4. Step 4: Simplify right side
    10,618.44x = 90,009,945.13
  5. Step 5: Solve for x
    x = 90,009,945.13/10,618.44
  6. Step 6: Final answer
    x = 8,476.76

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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.