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Finding the Fourth Proportional to 11,846.96, 16,348.50 and 7,808.84

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Solution

The fourth proportional to 11,846.96, 16,348.50 and 7,808.84 is: 10,776.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.96 : 16,348.50 = 7,808.84 : x
  2. Step 2: Convert to fraction form
    11,846.96/16,348.50 = 7,808.84/x
  3. Step 3: Cross multiply
    11,846.96x = 16,348.50 × 7,808.84
  4. Step 4: Simplify right side
    11,846.96x = 127,662,820.74
  5. Step 5: Solve for x
    x = 127,662,820.74/11,846.96
  6. Step 6: Final answer
    x = 10,776.00

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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.