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Finding the Fourth Proportional to 11,887.10, 16,361.43 and 11,206.70

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Solution

The fourth proportional to 11,887.10, 16,361.43 and 11,206.70 is: 15,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.10 : 16,361.43 = 11,206.70 : x
  2. Step 2: Convert to fraction form
    11,887.10/16,361.43 = 11,206.70/x
  3. Step 3: Cross multiply
    11,887.10x = 16,361.43 × 11,206.70
  4. Step 4: Simplify right side
    11,887.10x = 183,357,637.58
  5. Step 5: Solve for x
    x = 183,357,637.58/11,887.10
  6. Step 6: Final answer
    x = 15,424.93

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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.