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Finding the Fourth Proportional to 8,672.56, 11,968.14 and 4,693.68

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Solution

The fourth proportional to 8,672.56, 11,968.14 and 4,693.68 is: 6,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.56 : 11,968.14 = 4,693.68 : x
  2. Step 2: Convert to fraction form
    8,672.56/11,968.14 = 4,693.68/x
  3. Step 3: Cross multiply
    8,672.56x = 11,968.14 × 4,693.68
  4. Step 4: Simplify right side
    8,672.56x = 56,174,619.36
  5. Step 5: Solve for x
    x = 56,174,619.36/8,672.56
  6. Step 6: Final answer
    x = 6,477.28

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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.