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Finding the Fourth Proportional to 10,577.13, 14,596.39 and 5,797.08

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Solution

The fourth proportional to 10,577.13, 14,596.39 and 5,797.08 is: 7,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.13 : 14,596.39 = 5,797.08 : x
  2. Step 2: Convert to fraction form
    10,577.13/14,596.39 = 5,797.08/x
  3. Step 3: Cross multiply
    10,577.13x = 14,596.39 × 5,797.08
  4. Step 4: Simplify right side
    10,577.13x = 84,616,440.54
  5. Step 5: Solve for x
    x = 84,616,440.54/10,577.13
  6. Step 6: Final answer
    x = 7,999.94

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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.