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Finding the Fourth Proportional to 11,782.77, 16,254.80 and 10,439.75

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Solution

The fourth proportional to 11,782.77, 16,254.80 and 10,439.75 is: 14,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.77 : 16,254.80 = 10,439.75 : x
  2. Step 2: Convert to fraction form
    11,782.77/16,254.80 = 10,439.75/x
  3. Step 3: Cross multiply
    11,782.77x = 16,254.80 × 10,439.75
  4. Step 4: Simplify right side
    11,782.77x = 169,696,115.04
  5. Step 5: Solve for x
    x = 169,696,115.04/11,782.77
  6. Step 6: Final answer
    x = 14,402.06

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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.