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Finding the Fourth Proportional to 7,884.98, 11,827.48 and 5,412.32

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Solution

The fourth proportional to 7,884.98, 11,827.48 and 5,412.32 is: 8,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.98 : 11,827.48 = 5,412.32 : x
  2. Step 2: Convert to fraction form
    7,884.98/11,827.48 = 5,412.32/x
  3. Step 3: Cross multiply
    7,884.98x = 11,827.48 × 5,412.32
  4. Step 4: Simplify right side
    7,884.98x = 64,014,106.55
  5. Step 5: Solve for x
    x = 64,014,106.55/7,884.98
  6. Step 6: Final answer
    x = 8,118.49

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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.