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Finding the Fourth Proportional to 8,457.40, 11,676.18 and 5,101.30

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Solution

The fourth proportional to 8,457.40, 11,676.18 and 5,101.30 is: 7,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.40 : 11,676.18 = 5,101.30 : x
  2. Step 2: Convert to fraction form
    8,457.40/11,676.18 = 5,101.30/x
  3. Step 3: Cross multiply
    8,457.40x = 11,676.18 × 5,101.30
  4. Step 4: Simplify right side
    8,457.40x = 59,563,697.03
  5. Step 5: Solve for x
    x = 59,563,697.03/8,457.40
  6. Step 6: Final answer
    x = 7,042.79

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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.