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Finding the Fourth Proportional to 7,801.84, 11,700.33 and 2,606.50

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Solution

The fourth proportional to 7,801.84, 11,700.33 and 2,606.50 is: 3,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.84 : 11,700.33 = 2,606.50 : x
  2. Step 2: Convert to fraction form
    7,801.84/11,700.33 = 2,606.50/x
  3. Step 3: Cross multiply
    7,801.84x = 11,700.33 × 2,606.50
  4. Step 4: Simplify right side
    7,801.84x = 30,496,910.15
  5. Step 5: Solve for x
    x = 30,496,910.15/7,801.84
  6. Step 6: Final answer
    x = 3,908.94

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Why These Related Problems?

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