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Finding the Fourth Proportional to 7,442.49, 10,269.94 and 4,255.14

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Solution

The fourth proportional to 7,442.49, 10,269.94 and 4,255.14 is: 5,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.49 : 10,269.94 = 4,255.14 : x
  2. Step 2: Convert to fraction form
    7,442.49/10,269.94 = 4,255.14/x
  3. Step 3: Cross multiply
    7,442.49x = 10,269.94 × 4,255.14
  4. Step 4: Simplify right side
    7,442.49x = 43,700,032.49
  5. Step 5: Solve for x
    x = 43,700,032.49/7,442.49
  6. Step 6: Final answer
    x = 5,871.70

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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.