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Finding the Fourth Proportional to 8,457.63, 11,671.49 and 4,871.30

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Solution

The fourth proportional to 8,457.63, 11,671.49 and 4,871.30 is: 6,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.63 : 11,671.49 = 4,871.30 : x
  2. Step 2: Convert to fraction form
    8,457.63/11,671.49 = 4,871.30/x
  3. Step 3: Cross multiply
    8,457.63x = 11,671.49 × 4,871.30
  4. Step 4: Simplify right side
    8,457.63x = 56,855,246.52
  5. Step 5: Solve for x
    x = 56,855,246.52/8,457.63
  6. Step 6: Final answer
    x = 6,722.36

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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.