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Finding the Fourth Proportional to 7,211.02, 9,953 and 4,069.02

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Solution

The fourth proportional to 7,211.02, 9,953 and 4,069.02 is: 5,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.02 : 9,953 = 4,069.02 : x
  2. Step 2: Convert to fraction form
    7,211.02/9,953 = 4,069.02/x
  3. Step 3: Cross multiply
    7,211.02x = 9,953 × 4,069.02
  4. Step 4: Simplify right side
    7,211.02x = 40,498,956.06
  5. Step 5: Solve for x
    x = 40,498,956.06/7,211.02
  6. Step 6: Final answer
    x = 5,616.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.