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Finding the Fourth Proportional to 7,442.26, 10,270.26 and 4,085.00

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Solution

The fourth proportional to 7,442.26, 10,270.26 and 4,085.00 is: 5,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.26 : 10,270.26 = 4,085.00 : x
  2. Step 2: Convert to fraction form
    7,442.26/10,270.26 = 4,085.00/x
  3. Step 3: Cross multiply
    7,442.26x = 10,270.26 × 4,085.00
  4. Step 4: Simplify right side
    7,442.26x = 41,953,999.26
  5. Step 5: Solve for x
    x = 41,953,999.26/7,442.26
  6. Step 6: Final answer
    x = 5,637.26

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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.