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Finding the Fourth Proportional to 7,211.88, 9,952.74 and 4,068

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Solution

The fourth proportional to 7,211.88, 9,952.74 and 4,068 is: 5,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.88 : 9,952.74 = 4,068 : x
  2. Step 2: Convert to fraction form
    7,211.88/9,952.74 = 4,068/x
  3. Step 3: Cross multiply
    7,211.88x = 9,952.74 × 4,068
  4. Step 4: Simplify right side
    7,211.88x = 40,487,746.32
  5. Step 5: Solve for x
    x = 40,487,746.32/7,211.88
  6. Step 6: Final answer
    x = 5,614.03

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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.