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Finding the Fourth Proportional to 8,539.38, 11,785.50 and 5,004

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Solution

The fourth proportional to 8,539.38, 11,785.50 and 5,004 is: 6,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.38 : 11,785.50 = 5,004 : x
  2. Step 2: Convert to fraction form
    8,539.38/11,785.50 = 5,004/x
  3. Step 3: Cross multiply
    8,539.38x = 11,785.50 × 5,004
  4. Step 4: Simplify right side
    8,539.38x = 58,974,642
  5. Step 5: Solve for x
    x = 58,974,642/8,539.38
  6. Step 6: Final answer
    x = 6,906.20

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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.