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Finding the Fourth Proportional to 8,729.76, 13,096.98 and 3,800.46

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Solution

The fourth proportional to 8,729.76, 13,096.98 and 3,800.46 is: 5,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.76 : 13,096.98 = 3,800.46 : x
  2. Step 2: Convert to fraction form
    8,729.76/13,096.98 = 3,800.46/x
  3. Step 3: Cross multiply
    8,729.76x = 13,096.98 × 3,800.46
  4. Step 4: Simplify right side
    8,729.76x = 49,774,548.61
  5. Step 5: Solve for x
    x = 49,774,548.61/8,729.76
  6. Step 6: Final answer
    x = 5,701.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.