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Finding the Fourth Proportional to 10,665.84, 16,001.84 and 3,271.39

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Solution

The fourth proportional to 10,665.84, 16,001.84 and 3,271.39 is: 4,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.84 : 16,001.84 = 3,271.39 : x
  2. Step 2: Convert to fraction form
    10,665.84/16,001.84 = 3,271.39/x
  3. Step 3: Cross multiply
    10,665.84x = 16,001.84 × 3,271.39
  4. Step 4: Simplify right side
    10,665.84x = 52,348,259.36
  5. Step 5: Solve for x
    x = 52,348,259.36/10,665.84
  6. Step 6: Final answer
    x = 4,908.03

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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.