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Finding the Fourth Proportional to 10,576.17, 14,595.08 and 5,796.18

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Solution

The fourth proportional to 10,576.17, 14,595.08 and 5,796.18 is: 7,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.17 : 14,595.08 = 5,796.18 : x
  2. Step 2: Convert to fraction form
    10,576.17/14,595.08 = 5,796.18/x
  3. Step 3: Cross multiply
    10,576.17x = 14,595.08 × 5,796.18
  4. Step 4: Simplify right side
    10,576.17x = 84,595,681.81
  5. Step 5: Solve for x
    x = 84,595,681.81/10,576.17
  6. Step 6: Final answer
    x = 7,998.71

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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.