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Finding the Fourth Proportional to 10,840.96, 14,959.38 and 6,124.33

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Solution

The fourth proportional to 10,840.96, 14,959.38 and 6,124.33 is: 8,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.96 : 14,959.38 = 6,124.33 : x
  2. Step 2: Convert to fraction form
    10,840.96/14,959.38 = 6,124.33/x
  3. Step 3: Cross multiply
    10,840.96x = 14,959.38 × 6,124.33
  4. Step 4: Simplify right side
    10,840.96x = 91,616,179.72
  5. Step 5: Solve for x
    x = 91,616,179.72/10,840.96
  6. Step 6: Final answer
    x = 8,450.93

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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.