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Finding the Fourth Proportional to 10,576.46, 14,598.73 and 6,103.14

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Solution

The fourth proportional to 10,576.46, 14,598.73 and 6,103.14 is: 8,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.46 : 14,598.73 = 6,103.14 : x
  2. Step 2: Convert to fraction form
    10,576.46/14,598.73 = 6,103.14/x
  3. Step 3: Cross multiply
    10,576.46x = 14,598.73 × 6,103.14
  4. Step 4: Simplify right side
    10,576.46x = 89,098,077.75
  5. Step 5: Solve for x
    x = 89,098,077.75/10,576.46
  6. Step 6: Final answer
    x = 8,424.19

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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.