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Finding the Fourth Proportional to 11,860.38, 16,354.08 and 9,700.20

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Solution

The fourth proportional to 11,860.38, 16,354.08 and 9,700.20 is: 13,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.38 : 16,354.08 = 9,700.20 : x
  2. Step 2: Convert to fraction form
    11,860.38/16,354.08 = 9,700.20/x
  3. Step 3: Cross multiply
    11,860.38x = 16,354.08 × 9,700.20
  4. Step 4: Simplify right side
    11,860.38x = 158,637,846.82
  5. Step 5: Solve for x
    x = 158,637,846.82/11,860.38
  6. Step 6: Final answer
    x = 13,375.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.