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Finding the Fourth Proportional to 7,878.49, 11,817.73 and 5,405.81

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Solution

The fourth proportional to 7,878.49, 11,817.73 and 5,405.81 is: 8,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.49 : 11,817.73 = 5,405.81 : x
  2. Step 2: Convert to fraction form
    7,878.49/11,817.73 = 5,405.81/x
  3. Step 3: Cross multiply
    7,878.49x = 11,817.73 × 5,405.81
  4. Step 4: Simplify right side
    7,878.49x = 63,884,316.89
  5. Step 5: Solve for x
    x = 63,884,316.89/7,878.49
  6. Step 6: Final answer
    x = 8,108.71

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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.