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Finding the Fourth Proportional to 10,512.70, 14,507.43 and 5,796.88

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Solution

The fourth proportional to 10,512.70, 14,507.43 and 5,796.88 is: 7,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.70 : 14,507.43 = 5,796.88 : x
  2. Step 2: Convert to fraction form
    10,512.70/14,507.43 = 5,796.88/x
  3. Step 3: Cross multiply
    10,512.70x = 14,507.43 × 5,796.88
  4. Step 4: Simplify right side
    10,512.70x = 84,097,830.82
  5. Step 5: Solve for x
    x = 84,097,830.82/10,512.70
  6. Step 6: Final answer
    x = 7,999.64

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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.