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Finding the Fourth Proportional to 7,831.89, 10,775.53 and 6,839.54

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Solution

The fourth proportional to 7,831.89, 10,775.53 and 6,839.54 is: 9,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.89 : 10,775.53 = 6,839.54 : x
  2. Step 2: Convert to fraction form
    7,831.89/10,775.53 = 6,839.54/x
  3. Step 3: Cross multiply
    7,831.89x = 10,775.53 × 6,839.54
  4. Step 4: Simplify right side
    7,831.89x = 73,699,663.54
  5. Step 5: Solve for x
    x = 73,699,663.54/7,831.89
  6. Step 6: Final answer
    x = 9,410.20

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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.