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Finding the Fourth Proportional to 11,787.40, 17,666.70 and 5,206.60

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Solution

The fourth proportional to 11,787.40, 17,666.70 and 5,206.60 is: 7,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.40 : 17,666.70 = 5,206.60 : x
  2. Step 2: Convert to fraction form
    11,787.40/17,666.70 = 5,206.60/x
  3. Step 3: Cross multiply
    11,787.40x = 17,666.70 × 5,206.60
  4. Step 4: Simplify right side
    11,787.40x = 91,983,440.22
  5. Step 5: Solve for x
    x = 91,983,440.22/11,787.40
  6. Step 6: Final answer
    x = 7,803.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.