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Finding the Fourth Proportional to 11,978.84, 16,529.74 and 6,673.55

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Solution

The fourth proportional to 11,978.84, 16,529.74 and 6,673.55 is: 9,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.84 : 16,529.74 = 6,673.55 : x
  2. Step 2: Convert to fraction form
    11,978.84/16,529.74 = 6,673.55/x
  3. Step 3: Cross multiply
    11,978.84x = 16,529.74 × 6,673.55
  4. Step 4: Simplify right side
    11,978.84x = 110,312,046.38
  5. Step 5: Solve for x
    x = 110,312,046.38/11,978.84
  6. Step 6: Final answer
    x = 9,208.91

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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.