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Finding the Fourth Proportional to 11,133.68, 16,700.72 and 5,208.93

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Solution

The fourth proportional to 11,133.68, 16,700.72 and 5,208.93 is: 7,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.68 : 16,700.72 = 5,208.93 : x
  2. Step 2: Convert to fraction form
    11,133.68/16,700.72 = 5,208.93/x
  3. Step 3: Cross multiply
    11,133.68x = 16,700.72 × 5,208.93
  4. Step 4: Simplify right side
    11,133.68x = 86,992,855.38
  5. Step 5: Solve for x
    x = 86,992,855.38/11,133.68
  6. Step 6: Final answer
    x = 7,813.49

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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.