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Finding the Fourth Proportional to 10,750.56, 14,835.84 and 6,034.56

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Solution

The fourth proportional to 10,750.56, 14,835.84 and 6,034.56 is: 8,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.56 : 14,835.84 = 6,034.56 : x
  2. Step 2: Convert to fraction form
    10,750.56/14,835.84 = 6,034.56/x
  3. Step 3: Cross multiply
    10,750.56x = 14,835.84 × 6,034.56
  4. Step 4: Simplify right side
    10,750.56x = 89,527,766.63
  5. Step 5: Solve for x
    x = 89,527,766.63/10,750.56
  6. Step 6: Final answer
    x = 8,327.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.