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Finding the Fourth Proportional to 7,849.26, 10,831.93 and 4,264.18

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Solution

The fourth proportional to 7,849.26, 10,831.93 and 4,264.18 is: 5,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.26 : 10,831.93 = 4,264.18 : x
  2. Step 2: Convert to fraction form
    7,849.26/10,831.93 = 4,264.18/x
  3. Step 3: Cross multiply
    7,849.26x = 10,831.93 × 4,264.18
  4. Step 4: Simplify right side
    7,849.26x = 46,189,315.69
  5. Step 5: Solve for x
    x = 46,189,315.69/7,849.26
  6. Step 6: Final answer
    x = 5,884.55

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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.