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Finding the Fourth Proportional to 10,807.31, 14,914.65 and 6,331.38

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Solution

The fourth proportional to 10,807.31, 14,914.65 and 6,331.38 is: 8,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.31 : 14,914.65 = 6,331.38 : x
  2. Step 2: Convert to fraction form
    10,807.31/14,914.65 = 6,331.38/x
  3. Step 3: Cross multiply
    10,807.31x = 14,914.65 × 6,331.38
  4. Step 4: Simplify right side
    10,807.31x = 94,430,316.72
  5. Step 5: Solve for x
    x = 94,430,316.72/10,807.31
  6. Step 6: Final answer
    x = 8,737.64

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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.