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Finding the Fourth Proportional to 10,576.10, 14,578.08 and 8,334.26

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Solution

The fourth proportional to 10,576.10, 14,578.08 and 8,334.26 is: 11,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.10 : 14,578.08 = 8,334.26 : x
  2. Step 2: Convert to fraction form
    10,576.10/14,578.08 = 8,334.26/x
  3. Step 3: Cross multiply
    10,576.10x = 14,578.08 × 8,334.26
  4. Step 4: Simplify right side
    10,576.10x = 121,497,509.02
  5. Step 5: Solve for x
    x = 121,497,509.02/10,576.10
  6. Step 6: Final answer
    x = 11,487.93

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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.