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Finding the Fourth Proportional to 11,871.80, 17,783.40 and 6,031.70

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Solution

The fourth proportional to 11,871.80, 17,783.40 and 6,031.70 is: 9,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.80 : 17,783.40 = 6,031.70 : x
  2. Step 2: Convert to fraction form
    11,871.80/17,783.40 = 6,031.70/x
  3. Step 3: Cross multiply
    11,871.80x = 17,783.40 × 6,031.70
  4. Step 4: Simplify right side
    11,871.80x = 107,264,133.78
  5. Step 5: Solve for x
    x = 107,264,133.78/11,871.80
  6. Step 6: Final answer
    x = 9,035.20

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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.