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Finding the Fourth Proportional to 11,860.84, 16,357.08 and 7,136.92

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Solution

The fourth proportional to 11,860.84, 16,357.08 and 7,136.92 is: 9,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.84 : 16,357.08 = 7,136.92 : x
  2. Step 2: Convert to fraction form
    11,860.84/16,357.08 = 7,136.92/x
  3. Step 3: Cross multiply
    11,860.84x = 16,357.08 × 7,136.92
  4. Step 4: Simplify right side
    11,860.84x = 116,739,171.39
  5. Step 5: Solve for x
    x = 116,739,171.39/11,860.84
  6. Step 6: Final answer
    x = 9,842.40

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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.