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Finding the Fourth Proportional to 10,101.25, 13,940.81 and 5,913.01

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Solution

The fourth proportional to 10,101.25, 13,940.81 and 5,913.01 is: 8,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.25 : 13,940.81 = 5,913.01 : x
  2. Step 2: Convert to fraction form
    10,101.25/13,940.81 = 5,913.01/x
  3. Step 3: Cross multiply
    10,101.25x = 13,940.81 × 5,913.01
  4. Step 4: Simplify right side
    10,101.25x = 82,432,148.94
  5. Step 5: Solve for x
    x = 82,432,148.94/10,101.25
  6. Step 6: Final answer
    x = 8,160.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.