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Finding the Fourth Proportional to 10,666.16, 16,002.31 and 3,271.70

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Solution

The fourth proportional to 10,666.16, 16,002.31 and 3,271.70 is: 4,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.16 : 16,002.31 = 3,271.70 : x
  2. Step 2: Convert to fraction form
    10,666.16/16,002.31 = 3,271.70/x
  3. Step 3: Cross multiply
    10,666.16x = 16,002.31 × 3,271.70
  4. Step 4: Simplify right side
    10,666.16x = 52,354,789.45
  5. Step 5: Solve for x
    x = 52,354,789.45/10,666.16
  6. Step 6: Final answer
    x = 4,908.50

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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.