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Finding the Fourth Proportional to 10,512.31, 14,507.10 and 5,796.76

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Solution

The fourth proportional to 10,512.31, 14,507.10 and 5,796.76 is: 7,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.31 : 14,507.10 = 5,796.76 : x
  2. Step 2: Convert to fraction form
    10,512.31/14,507.10 = 5,796.76/x
  3. Step 3: Cross multiply
    10,512.31x = 14,507.10 × 5,796.76
  4. Step 4: Simplify right side
    10,512.31x = 84,094,177.00
  5. Step 5: Solve for x
    x = 84,094,177.00/10,512.31
  6. Step 6: Final answer
    x = 7,999.59

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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.