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Finding the Fourth Proportional to 10,512.94, 14,507.81 and 5,797.22

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Solution

The fourth proportional to 10,512.94, 14,507.81 and 5,797.22 is: 8,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.94 : 14,507.81 = 5,797.22 : x
  2. Step 2: Convert to fraction form
    10,512.94/14,507.81 = 5,797.22/x
  3. Step 3: Cross multiply
    10,512.94x = 14,507.81 × 5,797.22
  4. Step 4: Simplify right side
    10,512.94x = 84,104,968.11
  5. Step 5: Solve for x
    x = 84,104,968.11/10,512.94
  6. Step 6: Final answer
    x = 8,000.14

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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.