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Finding the Fourth Proportional to 7,877.12, 11,823 and 3,984.28

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Solution

The fourth proportional to 7,877.12, 11,823 and 3,984.28 is: 5,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.12 : 11,823 = 3,984.28 : x
  2. Step 2: Convert to fraction form
    7,877.12/11,823 = 3,984.28/x
  3. Step 3: Cross multiply
    7,877.12x = 11,823 × 3,984.28
  4. Step 4: Simplify right side
    7,877.12x = 47,106,142.44
  5. Step 5: Solve for x
    x = 47,106,142.44/7,877.12
  6. Step 6: Final answer
    x = 5,980.12

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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.