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Finding the Fourth Proportional to 7,442.75, 10,271.28 and 4,085.70

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Solution

The fourth proportional to 7,442.75, 10,271.28 and 4,085.70 is: 5,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.75 : 10,271.28 = 4,085.70 : x
  2. Step 2: Convert to fraction form
    7,442.75/10,271.28 = 4,085.70/x
  3. Step 3: Cross multiply
    7,442.75x = 10,271.28 × 4,085.70
  4. Step 4: Simplify right side
    7,442.75x = 41,965,368.70
  5. Step 5: Solve for x
    x = 41,965,368.70/7,442.75
  6. Step 6: Final answer
    x = 5,638.43

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