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Finding the Fourth Proportional to 11,733, 17,607.18 and 4,437

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Solution

The fourth proportional to 11,733, 17,607.18 and 4,437 is: 6,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733 : 17,607.18 = 4,437 : x
  2. Step 2: Convert to fraction form
    11,733/17,607.18 = 4,437/x
  3. Step 3: Cross multiply
    11,733x = 17,607.18 × 4,437
  4. Step 4: Simplify right side
    11,733x = 78,123,057.66
  5. Step 5: Solve for x
    x = 78,123,057.66/11,733
  6. Step 6: Final answer
    x = 6,658.40

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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.