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Finding the Fourth Proportional to 11,783.70, 16,261.38 and 7,070.64

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Solution

The fourth proportional to 11,783.70, 16,261.38 and 7,070.64 is: 9,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.70 : 16,261.38 = 7,070.64 : x
  2. Step 2: Convert to fraction form
    11,783.70/16,261.38 = 7,070.64/x
  3. Step 3: Cross multiply
    11,783.70x = 16,261.38 × 7,070.64
  4. Step 4: Simplify right side
    11,783.70x = 114,978,363.88
  5. Step 5: Solve for x
    x = 114,978,363.88/11,783.70
  6. Step 6: Final answer
    x = 9,757.41

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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.