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Finding the Fourth Proportional to 8,429.54, 11,630.44 and 5,071.88

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Solution

The fourth proportional to 8,429.54, 11,630.44 and 5,071.88 is: 6,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.54 : 11,630.44 = 5,071.88 : x
  2. Step 2: Convert to fraction form
    8,429.54/11,630.44 = 5,071.88/x
  3. Step 3: Cross multiply
    8,429.54x = 11,630.44 × 5,071.88
  4. Step 4: Simplify right side
    8,429.54x = 58,988,196.03
  5. Step 5: Solve for x
    x = 58,988,196.03/8,429.54
  6. Step 6: Final answer
    x = 6,997.80

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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.