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Finding the Fourth Proportional to 26,783.71, 40,172.05 and 7,063.82

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Solution

The fourth proportional to 26,783.71, 40,172.05 and 7,063.82 is: 10,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,783.71 : 40,172.05 = 7,063.82 : x
  2. Step 2: Convert to fraction form
    26,783.71/40,172.05 = 7,063.82/x
  3. Step 3: Cross multiply
    26,783.71x = 40,172.05 × 7,063.82
  4. Step 4: Simplify right side
    26,783.71x = 283,768,130.23
  5. Step 5: Solve for x
    x = 283,768,130.23/26,783.71
  6. Step 6: Final answer
    x = 10,594.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.