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Finding the Fourth Proportional to 8,041.38, 11,097.10 and 4,504.61

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Solution

The fourth proportional to 8,041.38, 11,097.10 and 4,504.61 is: 6,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.38 : 11,097.10 = 4,504.61 : x
  2. Step 2: Convert to fraction form
    8,041.38/11,097.10 = 4,504.61/x
  3. Step 3: Cross multiply
    8,041.38x = 11,097.10 × 4,504.61
  4. Step 4: Simplify right side
    8,041.38x = 49,988,141.00
  5. Step 5: Solve for x
    x = 49,988,141.00/8,041.38
  6. Step 6: Final answer
    x = 6,216.37

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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.