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Finding the Fourth Proportional to 10,666.71, 16,002.80 and 3,271.23

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Solution

The fourth proportional to 10,666.71, 16,002.80 and 3,271.23 is: 4,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.71 : 16,002.80 = 3,271.23 : x
  2. Step 2: Convert to fraction form
    10,666.71/16,002.80 = 3,271.23/x
  3. Step 3: Cross multiply
    10,666.71x = 16,002.80 × 3,271.23
  4. Step 4: Simplify right side
    10,666.71x = 52,348,839.44
  5. Step 5: Solve for x
    x = 52,348,839.44/10,666.71
  6. Step 6: Final answer
    x = 4,907.68

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