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Finding the Fourth Proportional to 7,331.36, 10,997.06 and 4,871

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Solution

The fourth proportional to 7,331.36, 10,997.06 and 4,871 is: 7,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.36 : 10,997.06 = 4,871 : x
  2. Step 2: Convert to fraction form
    7,331.36/10,997.06 = 4,871/x
  3. Step 3: Cross multiply
    7,331.36x = 10,997.06 × 4,871
  4. Step 4: Simplify right side
    7,331.36x = 53,566,679.26
  5. Step 5: Solve for x
    x = 53,566,679.26/7,331.36
  6. Step 6: Final answer
    x = 7,306.51

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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.