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Finding the Fourth Proportional to 10,807.15, 14,913.43 and 6,092.41

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Solution

The fourth proportional to 10,807.15, 14,913.43 and 6,092.41 is: 8,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.15 : 14,913.43 = 6,092.41 : x
  2. Step 2: Convert to fraction form
    10,807.15/14,913.43 = 6,092.41/x
  3. Step 3: Cross multiply
    10,807.15x = 14,913.43 × 6,092.41
  4. Step 4: Simplify right side
    10,807.15x = 90,858,730.07
  5. Step 5: Solve for x
    x = 90,858,730.07/10,807.15
  6. Step 6: Final answer
    x = 8,407.28

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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.