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Finding the Fourth Proportional to 7,846.18, 10,831.29 and 5,017.42

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Solution

The fourth proportional to 7,846.18, 10,831.29 and 5,017.42 is: 6,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.18 : 10,831.29 = 5,017.42 : x
  2. Step 2: Convert to fraction form
    7,846.18/10,831.29 = 5,017.42/x
  3. Step 3: Cross multiply
    7,846.18x = 10,831.29 × 5,017.42
  4. Step 4: Simplify right side
    7,846.18x = 54,345,131.07
  5. Step 5: Solve for x
    x = 54,345,131.07/7,846.18
  6. Step 6: Final answer
    x = 6,926.32

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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.