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Finding the Fourth Proportional to 7,823.17, 10,793.82 and 4,839.13

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Solution

The fourth proportional to 7,823.17, 10,793.82 and 4,839.13 is: 6,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.17 : 10,793.82 = 4,839.13 : x
  2. Step 2: Convert to fraction form
    7,823.17/10,793.82 = 4,839.13/x
  3. Step 3: Cross multiply
    7,823.17x = 10,793.82 × 4,839.13
  4. Step 4: Simplify right side
    7,823.17x = 52,232,698.18
  5. Step 5: Solve for x
    x = 52,232,698.18/7,823.17
  6. Step 6: Final answer
    x = 6,676.67

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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.