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Finding the Fourth Proportional to 25,941, 38,917.98 and 7,473

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Solution

The fourth proportional to 25,941, 38,917.98 and 7,473 is: 11,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,941 : 38,917.98 = 7,473 : x
  2. Step 2: Convert to fraction form
    25,941/38,917.98 = 7,473/x
  3. Step 3: Cross multiply
    25,941x = 38,917.98 × 7,473
  4. Step 4: Simplify right side
    25,941x = 290,834,064.54
  5. Step 5: Solve for x
    x = 290,834,064.54/25,941
  6. Step 6: Final answer
    x = 11,211.37

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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.