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Finding the Fourth Proportional to 7,123.26, 10,672.08 and 4,200

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Solution

The fourth proportional to 7,123.26, 10,672.08 and 4,200 is: 6,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.26 : 10,672.08 = 4,200 : x
  2. Step 2: Convert to fraction form
    7,123.26/10,672.08 = 4,200/x
  3. Step 3: Cross multiply
    7,123.26x = 10,672.08 × 4,200
  4. Step 4: Simplify right side
    7,123.26x = 44,822,736
  5. Step 5: Solve for x
    x = 44,822,736/7,123.26
  6. Step 6: Final answer
    x = 6,292.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.