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Finding the Fourth Proportional to 7,954.00, 11,924.48 and 3,508.52

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Solution

The fourth proportional to 7,954.00, 11,924.48 and 3,508.52 is: 5,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.00 : 11,924.48 = 3,508.52 : x
  2. Step 2: Convert to fraction form
    7,954.00/11,924.48 = 3,508.52/x
  3. Step 3: Cross multiply
    7,954.00x = 11,924.48 × 3,508.52
  4. Step 4: Simplify right side
    7,954.00x = 41,837,225.72
  5. Step 5: Solve for x
    x = 41,837,225.72/7,954.00
  6. Step 6: Final answer
    x = 5,259.90

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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.