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Finding the Fourth Proportional to 11,868.83, 17,807.36 and 4,475.41

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Solution

The fourth proportional to 11,868.83, 17,807.36 and 4,475.41 is: 6,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.83 : 17,807.36 = 4,475.41 : x
  2. Step 2: Convert to fraction form
    11,868.83/17,807.36 = 4,475.41/x
  3. Step 3: Cross multiply
    11,868.83x = 17,807.36 × 4,475.41
  4. Step 4: Simplify right side
    11,868.83x = 79,695,170.12
  5. Step 5: Solve for x
    x = 79,695,170.12/11,868.83
  6. Step 6: Final answer
    x = 6,714.66

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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.