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Finding the Fourth Proportional to 10,652.31, 14,700.19 and 5,872.34

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Solution

The fourth proportional to 10,652.31, 14,700.19 and 5,872.34 is: 8,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.31 : 14,700.19 = 5,872.34 : x
  2. Step 2: Convert to fraction form
    10,652.31/14,700.19 = 5,872.34/x
  3. Step 3: Cross multiply
    10,652.31x = 14,700.19 × 5,872.34
  4. Step 4: Simplify right side
    10,652.31x = 86,324,425.56
  5. Step 5: Solve for x
    x = 86,324,425.56/10,652.31
  6. Step 6: Final answer
    x = 8,103.82

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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.