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Finding the Fourth Proportional to 11,783.77, 16,256.18 and 10,440.75

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Solution

The fourth proportional to 11,783.77, 16,256.18 and 10,440.75 is: 14,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.77 : 16,256.18 = 10,440.75 : x
  2. Step 2: Convert to fraction form
    11,783.77/16,256.18 = 10,440.75/x
  3. Step 3: Cross multiply
    11,783.77x = 16,256.18 × 10,440.75
  4. Step 4: Simplify right side
    11,783.77x = 169,726,711.34
  5. Step 5: Solve for x
    x = 169,726,711.34/11,783.77
  6. Step 6: Final answer
    x = 14,403.43

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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.