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Finding the Fourth Proportional to 7,813.96, 10,783.33 and 4,627.43

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Solution

The fourth proportional to 7,813.96, 10,783.33 and 4,627.43 is: 6,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.96 : 10,783.33 = 4,627.43 : x
  2. Step 2: Convert to fraction form
    7,813.96/10,783.33 = 4,627.43/x
  3. Step 3: Cross multiply
    7,813.96x = 10,783.33 × 4,627.43
  4. Step 4: Simplify right side
    7,813.96x = 49,899,079.69
  5. Step 5: Solve for x
    x = 49,899,079.69/7,813.96
  6. Step 6: Final answer
    x = 6,385.89

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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.