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Finding the Fourth Proportional to 7,801.03, 11,700.73 and 2,606.50

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Solution

The fourth proportional to 7,801.03, 11,700.73 and 2,606.50 is: 3,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.03 : 11,700.73 = 2,606.50 : x
  2. Step 2: Convert to fraction form
    7,801.03/11,700.73 = 2,606.50/x
  3. Step 3: Cross multiply
    7,801.03x = 11,700.73 × 2,606.50
  4. Step 4: Simplify right side
    7,801.03x = 30,497,952.75
  5. Step 5: Solve for x
    x = 30,497,952.75/7,801.03
  6. Step 6: Final answer
    x = 3,909.48

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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.