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Finding the Fourth Proportional to 7,801.68, 11,700.09 and 2,606.34

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Solution

The fourth proportional to 7,801.68, 11,700.09 and 2,606.34 is: 3,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.68 : 11,700.09 = 2,606.34 : x
  2. Step 2: Convert to fraction form
    7,801.68/11,700.09 = 2,606.34/x
  3. Step 3: Cross multiply
    7,801.68x = 11,700.09 × 2,606.34
  4. Step 4: Simplify right side
    7,801.68x = 30,494,466.22
  5. Step 5: Solve for x
    x = 30,494,466.22/7,801.68
  6. Step 6: Final answer
    x = 3,908.70

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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.