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Finding the Fourth Proportional to 7,831.84, 10,807.62 and 4,686.16

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Solution

The fourth proportional to 7,831.84, 10,807.62 and 4,686.16 is: 6,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.84 : 10,807.62 = 4,686.16 : x
  2. Step 2: Convert to fraction form
    7,831.84/10,807.62 = 4,686.16/x
  3. Step 3: Cross multiply
    7,831.84x = 10,807.62 × 4,686.16
  4. Step 4: Simplify right side
    7,831.84x = 50,646,236.54
  5. Step 5: Solve for x
    x = 50,646,236.54/7,831.84
  6. Step 6: Final answer
    x = 6,466.71

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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.