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Finding the Fourth Proportional to 12,196.35, 16,830.09 and 7,160.79

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Solution

The fourth proportional to 12,196.35, 16,830.09 and 7,160.79 is: 9,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.35 : 16,830.09 = 7,160.79 : x
  2. Step 2: Convert to fraction form
    12,196.35/16,830.09 = 7,160.79/x
  3. Step 3: Cross multiply
    12,196.35x = 16,830.09 × 7,160.79
  4. Step 4: Simplify right side
    12,196.35x = 120,516,740.17
  5. Step 5: Solve for x
    x = 120,516,740.17/12,196.35
  6. Step 6: Final answer
    x = 9,881.38

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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.