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Finding the Fourth Proportional to 10,825.72, 14,940.16 and 6,045.66

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Solution

The fourth proportional to 10,825.72, 14,940.16 and 6,045.66 is: 8,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.72 : 14,940.16 = 6,045.66 : x
  2. Step 2: Convert to fraction form
    10,825.72/14,940.16 = 6,045.66/x
  3. Step 3: Cross multiply
    10,825.72x = 14,940.16 × 6,045.66
  4. Step 4: Simplify right side
    10,825.72x = 90,323,112.59
  5. Step 5: Solve for x
    x = 90,323,112.59/10,825.72
  6. Step 6: Final answer
    x = 8,343.38

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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.