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Finding the Fourth Proportional to 8,457.36, 11,669.97 and 4,871.76

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Solution

The fourth proportional to 8,457.36, 11,669.97 and 4,871.76 is: 6,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.36 : 11,669.97 = 4,871.76 : x
  2. Step 2: Convert to fraction form
    8,457.36/11,669.97 = 4,871.76/x
  3. Step 3: Cross multiply
    8,457.36x = 11,669.97 × 4,871.76
  4. Step 4: Simplify right side
    8,457.36x = 56,853,293.05
  5. Step 5: Solve for x
    x = 56,853,293.05/8,457.36
  6. Step 6: Final answer
    x = 6,722.35

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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.