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Finding the Fourth Proportional to 10,576.29, 14,598.94 and 6,101.82

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Solution

The fourth proportional to 10,576.29, 14,598.94 and 6,101.82 is: 8,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.29 : 14,598.94 = 6,101.82 : x
  2. Step 2: Convert to fraction form
    10,576.29/14,598.94 = 6,101.82/x
  3. Step 3: Cross multiply
    10,576.29x = 14,598.94 × 6,101.82
  4. Step 4: Simplify right side
    10,576.29x = 89,080,125.31
  5. Step 5: Solve for x
    x = 89,080,125.31/10,576.29
  6. Step 6: Final answer
    x = 8,422.63

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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.