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Finding the Fourth Proportional to 11,783.76, 16,261.12 and 6,478.24

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Solution

The fourth proportional to 11,783.76, 16,261.12 and 6,478.24 is: 8,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.76 : 16,261.12 = 6,478.24 : x
  2. Step 2: Convert to fraction form
    11,783.76/16,261.12 = 6,478.24/x
  3. Step 3: Cross multiply
    11,783.76x = 16,261.12 × 6,478.24
  4. Step 4: Simplify right side
    11,783.76x = 105,343,438.03
  5. Step 5: Solve for x
    x = 105,343,438.03/11,783.76
  6. Step 6: Final answer
    x = 8,939.71

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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.