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Finding the Fourth Proportional to 8,457.74, 11,672.09 and 5,101.64

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Solution

The fourth proportional to 8,457.74, 11,672.09 and 5,101.64 is: 7,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.74 : 11,672.09 = 5,101.64 : x
  2. Step 2: Convert to fraction form
    8,457.74/11,672.09 = 5,101.64/x
  3. Step 3: Cross multiply
    8,457.74x = 11,672.09 × 5,101.64
  4. Step 4: Simplify right side
    8,457.74x = 59,546,717.36
  5. Step 5: Solve for x
    x = 59,546,717.36/8,457.74
  6. Step 6: Final answer
    x = 7,040.50

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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.