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Finding the Fourth Proportional to 8,736.72, 12,056.71 and 5,200.05

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Solution

The fourth proportional to 8,736.72, 12,056.71 and 5,200.05 is: 7,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.72 : 12,056.71 = 5,200.05 : x
  2. Step 2: Convert to fraction form
    8,736.72/12,056.71 = 5,200.05/x
  3. Step 3: Cross multiply
    8,736.72x = 12,056.71 × 5,200.05
  4. Step 4: Simplify right side
    8,736.72x = 62,695,494.84
  5. Step 5: Solve for x
    x = 62,695,494.84/8,736.72
  6. Step 6: Final answer
    x = 7,176.09

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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.