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Finding the Fourth Proportional to 8,576.24, 12,885.89 and 5,457.60

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Solution

The fourth proportional to 8,576.24, 12,885.89 and 5,457.60 is: 8,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.24 : 12,885.89 = 5,457.60 : x
  2. Step 2: Convert to fraction form
    8,576.24/12,885.89 = 5,457.60/x
  3. Step 3: Cross multiply
    8,576.24x = 12,885.89 × 5,457.60
  4. Step 4: Simplify right side
    8,576.24x = 70,326,005.98
  5. Step 5: Solve for x
    x = 70,326,005.98/8,576.24
  6. Step 6: Final answer
    x = 8,200.10

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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.