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Finding the Fourth Proportional to 7,266, 10,899.14 and 2,072.01

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Solution

The fourth proportional to 7,266, 10,899.14 and 2,072.01 is: 3,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266 : 10,899.14 = 2,072.01 : x
  2. Step 2: Convert to fraction form
    7,266/10,899.14 = 2,072.01/x
  3. Step 3: Cross multiply
    7,266x = 10,899.14 × 2,072.01
  4. Step 4: Simplify right side
    7,266x = 22,583,116.71
  5. Step 5: Solve for x
    x = 22,583,116.71/7,266
  6. Step 6: Final answer
    x = 3,108.05

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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.