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Finding the Fourth Proportional to 7,783.29, 11,673.72 and 3,103.92

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Solution

The fourth proportional to 7,783.29, 11,673.72 and 3,103.92 is: 4,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.29 : 11,673.72 = 3,103.92 : x
  2. Step 2: Convert to fraction form
    7,783.29/11,673.72 = 3,103.92/x
  3. Step 3: Cross multiply
    7,783.29x = 11,673.72 × 3,103.92
  4. Step 4: Simplify right side
    7,783.29x = 36,234,292.98
  5. Step 5: Solve for x
    x = 36,234,292.98/7,783.29
  6. Step 6: Final answer
    x = 4,655.40

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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.