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Finding the Fourth Proportional to 10,533.74, 14,535.15 and 5,996.51

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Solution

The fourth proportional to 10,533.74, 14,535.15 and 5,996.51 is: 8,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.74 : 14,535.15 = 5,996.51 : x
  2. Step 2: Convert to fraction form
    10,533.74/14,535.15 = 5,996.51/x
  3. Step 3: Cross multiply
    10,533.74x = 14,535.15 × 5,996.51
  4. Step 4: Simplify right side
    10,533.74x = 87,160,172.33
  5. Step 5: Solve for x
    x = 87,160,172.33/10,533.74
  6. Step 6: Final answer
    x = 8,274.38

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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.