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Finding the Fourth Proportional to 8,292.37, 12,438.56 and 6,828.45

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Solution

The fourth proportional to 8,292.37, 12,438.56 and 6,828.45 is: 10,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.37 : 12,438.56 = 6,828.45 : x
  2. Step 2: Convert to fraction form
    8,292.37/12,438.56 = 6,828.45/x
  3. Step 3: Cross multiply
    8,292.37x = 12,438.56 × 6,828.45
  4. Step 4: Simplify right side
    8,292.37x = 84,935,988.70
  5. Step 5: Solve for x
    x = 84,935,988.70/8,292.37
  6. Step 6: Final answer
    x = 10,242.67

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