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Finding the Fourth Proportional to 11,482.43, 17,223.39 and 6,541.52

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Solution

The fourth proportional to 11,482.43, 17,223.39 and 6,541.52 is: 9,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.43 : 17,223.39 = 6,541.52 : x
  2. Step 2: Convert to fraction form
    11,482.43/17,223.39 = 6,541.52/x
  3. Step 3: Cross multiply
    11,482.43x = 17,223.39 × 6,541.52
  4. Step 4: Simplify right side
    11,482.43x = 112,667,064.04
  5. Step 5: Solve for x
    x = 112,667,064.04/11,482.43
  6. Step 6: Final answer
    x = 9,812.13

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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.