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Finding the Fourth Proportional to 10,577.81, 14,596.75 and 5,796.80

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Solution

The fourth proportional to 10,577.81, 14,596.75 and 5,796.80 is: 7,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.81 : 14,596.75 = 5,796.80 : x
  2. Step 2: Convert to fraction form
    10,577.81/14,596.75 = 5,796.80/x
  3. Step 3: Cross multiply
    10,577.81x = 14,596.75 × 5,796.80
  4. Step 4: Simplify right side
    10,577.81x = 84,614,440.40
  5. Step 5: Solve for x
    x = 84,614,440.40/10,577.81
  6. Step 6: Final answer
    x = 7,999.24

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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.