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Finding the Fourth Proportional to 8,457.30, 12,683.52 and 2,910.42

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Solution

The fourth proportional to 8,457.30, 12,683.52 and 2,910.42 is: 4,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.30 : 12,683.52 = 2,910.42 : x
  2. Step 2: Convert to fraction form
    8,457.30/12,683.52 = 2,910.42/x
  3. Step 3: Cross multiply
    8,457.30x = 12,683.52 × 2,910.42
  4. Step 4: Simplify right side
    8,457.30x = 36,914,370.28
  5. Step 5: Solve for x
    x = 36,914,370.28/8,457.30
  6. Step 6: Final answer
    x = 4,364.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.