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Finding the Fourth Proportional to 10,576.32, 14,598 and 6,329.94

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Solution

The fourth proportional to 10,576.32, 14,598 and 6,329.94 is: 8,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.32 : 14,598 = 6,329.94 : x
  2. Step 2: Convert to fraction form
    10,576.32/14,598 = 6,329.94/x
  3. Step 3: Cross multiply
    10,576.32x = 14,598 × 6,329.94
  4. Step 4: Simplify right side
    10,576.32x = 92,404,464.12
  5. Step 5: Solve for x
    x = 92,404,464.12/10,576.32
  6. Step 6: Final answer
    x = 8,736.92

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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.