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Finding the Fourth Proportional to 7,211.04, 9,950.64 and 4,068

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Solution

The fourth proportional to 7,211.04, 9,950.64 and 4,068 is: 5,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.04 : 9,950.64 = 4,068 : x
  2. Step 2: Convert to fraction form
    7,211.04/9,950.64 = 4,068/x
  3. Step 3: Cross multiply
    7,211.04x = 9,950.64 × 4,068
  4. Step 4: Simplify right side
    7,211.04x = 40,479,203.52
  5. Step 5: Solve for x
    x = 40,479,203.52/7,211.04
  6. Step 6: Final answer
    x = 5,613.50

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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.