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Finding the Fourth Proportional to 7,831.07, 10,807.19 and 4,294.41

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Solution

The fourth proportional to 7,831.07, 10,807.19 and 4,294.41 is: 5,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.07 : 10,807.19 = 4,294.41 : x
  2. Step 2: Convert to fraction form
    7,831.07/10,807.19 = 4,294.41/x
  3. Step 3: Cross multiply
    7,831.07x = 10,807.19 × 4,294.41
  4. Step 4: Simplify right side
    7,831.07x = 46,410,504.81
  5. Step 5: Solve for x
    x = 46,410,504.81/7,831.07
  6. Step 6: Final answer
    x = 5,926.46

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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.