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Finding the Fourth Proportional to 6,831.30, 10,188.69 and 6,712.89

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Solution

The fourth proportional to 6,831.30, 10,188.69 and 6,712.89 is: 10,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.30 : 10,188.69 = 6,712.89 : x
  2. Step 2: Convert to fraction form
    6,831.30/10,188.69 = 6,712.89/x
  3. Step 3: Cross multiply
    6,831.30x = 10,188.69 × 6,712.89
  4. Step 4: Simplify right side
    6,831.30x = 68,395,570.64
  5. Step 5: Solve for x
    x = 68,395,570.64/6,831.30
  6. Step 6: Final answer
    x = 10,012.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.