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Finding the Fourth Proportional to 7,813.61, 10,783.07 and 4,456.97

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Solution

The fourth proportional to 7,813.61, 10,783.07 and 4,456.97 is: 6,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.61 : 10,783.07 = 4,456.97 : x
  2. Step 2: Convert to fraction form
    7,813.61/10,783.07 = 4,456.97/x
  3. Step 3: Cross multiply
    7,813.61x = 10,783.07 × 4,456.97
  4. Step 4: Simplify right side
    7,813.61x = 48,059,776.72
  5. Step 5: Solve for x
    x = 48,059,776.72/7,813.61
  6. Step 6: Final answer
    x = 6,150.78

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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.