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Finding the Fourth Proportional to 10,576.23, 14,595.03 and 5,796.55

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Solution

The fourth proportional to 10,576.23, 14,595.03 and 5,796.55 is: 7,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.23 : 14,595.03 = 5,796.55 : x
  2. Step 2: Convert to fraction form
    10,576.23/14,595.03 = 5,796.55/x
  3. Step 3: Cross multiply
    10,576.23x = 14,595.03 × 5,796.55
  4. Step 4: Simplify right side
    10,576.23x = 84,600,821.15
  5. Step 5: Solve for x
    x = 84,600,821.15/10,576.23
  6. Step 6: Final answer
    x = 7,999.15

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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.