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Finding the Fourth Proportional to 8,363.65, 11,541.63 and 4,729.38

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Solution

The fourth proportional to 8,363.65, 11,541.63 and 4,729.38 is: 6,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.65 : 11,541.63 = 4,729.38 : x
  2. Step 2: Convert to fraction form
    8,363.65/11,541.63 = 4,729.38/x
  3. Step 3: Cross multiply
    8,363.65x = 11,541.63 × 4,729.38
  4. Step 4: Simplify right side
    8,363.65x = 54,584,754.09
  5. Step 5: Solve for x
    x = 54,584,754.09/8,363.65
  6. Step 6: Final answer
    x = 6,526.43

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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.