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Finding the Fourth Proportional to 7,442.81, 10,270.43 and 4,085.61

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Solution

The fourth proportional to 7,442.81, 10,270.43 and 4,085.61 is: 5,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.81 : 10,270.43 = 4,085.61 : x
  2. Step 2: Convert to fraction form
    7,442.81/10,270.43 = 4,085.61/x
  3. Step 3: Cross multiply
    7,442.81x = 10,270.43 × 4,085.61
  4. Step 4: Simplify right side
    7,442.81x = 41,960,981.73
  5. Step 5: Solve for x
    x = 41,960,981.73/7,442.81
  6. Step 6: Final answer
    x = 5,637.79

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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.