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Finding the Fourth Proportional to 11,812.62, 16,301.28 and 6,507.33

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Solution

The fourth proportional to 11,812.62, 16,301.28 and 6,507.33 is: 8,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.62 : 16,301.28 = 6,507.33 : x
  2. Step 2: Convert to fraction form
    11,812.62/16,301.28 = 6,507.33/x
  3. Step 3: Cross multiply
    11,812.62x = 16,301.28 × 6,507.33
  4. Step 4: Simplify right side
    11,812.62x = 106,077,808.38
  5. Step 5: Solve for x
    x = 106,077,808.38/11,812.62
  6. Step 6: Final answer
    x = 8,980.04

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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.