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Finding the Fourth Proportional to 10,576.16, 14,597.16 and 6,099.76

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Solution

The fourth proportional to 10,576.16, 14,597.16 and 6,099.76 is: 8,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.16 : 14,597.16 = 6,099.76 : x
  2. Step 2: Convert to fraction form
    10,576.16/14,597.16 = 6,099.76/x
  3. Step 3: Cross multiply
    10,576.16x = 14,597.16 × 6,099.76
  4. Step 4: Simplify right side
    10,576.16x = 89,039,172.68
  5. Step 5: Solve for x
    x = 89,039,172.68/10,576.16
  6. Step 6: Final answer
    x = 8,418.86

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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.