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Finding the Fourth Proportional to 7,839.81, 11,746.03 and 6,531.96

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Solution

The fourth proportional to 7,839.81, 11,746.03 and 6,531.96 is: 9,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.81 : 11,746.03 = 6,531.96 : x
  2. Step 2: Convert to fraction form
    7,839.81/11,746.03 = 6,531.96/x
  3. Step 3: Cross multiply
    7,839.81x = 11,746.03 × 6,531.96
  4. Step 4: Simplify right side
    7,839.81x = 76,724,598.12
  5. Step 5: Solve for x
    x = 76,724,598.12/7,839.81
  6. Step 6: Final answer
    x = 9,786.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.