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Finding the Fourth Proportional to 8,457.30, 11,672.31 and 4,871.56

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Solution

The fourth proportional to 8,457.30, 11,672.31 and 4,871.56 is: 6,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.30 : 11,672.31 = 4,871.56 : x
  2. Step 2: Convert to fraction form
    8,457.30/11,672.31 = 4,871.56/x
  3. Step 3: Cross multiply
    8,457.30x = 11,672.31 × 4,871.56
  4. Step 4: Simplify right side
    8,457.30x = 56,862,358.50
  5. Step 5: Solve for x
    x = 56,862,358.50/8,457.30
  6. Step 6: Final answer
    x = 6,723.46

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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.