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Finding the Fourth Proportional to 10,512.78, 14,507.67 and 5,797.02

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Solution

The fourth proportional to 10,512.78, 14,507.67 and 5,797.02 is: 7,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.78 : 14,507.67 = 5,797.02 : x
  2. Step 2: Convert to fraction form
    10,512.78/14,507.67 = 5,797.02/x
  3. Step 3: Cross multiply
    10,512.78x = 14,507.67 × 5,797.02
  4. Step 4: Simplify right side
    10,512.78x = 84,101,253.14
  5. Step 5: Solve for x
    x = 84,101,253.14/10,512.78
  6. Step 6: Final answer
    x = 7,999.91

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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.