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Finding the Fourth Proportional to 25,012.60, 37,521.16 and 7,243

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Solution

The fourth proportional to 25,012.60, 37,521.16 and 7,243 is: 10,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,012.60 : 37,521.16 = 7,243 : x
  2. Step 2: Convert to fraction form
    25,012.60/37,521.16 = 7,243/x
  3. Step 3: Cross multiply
    25,012.60x = 37,521.16 × 7,243
  4. Step 4: Simplify right side
    25,012.60x = 271,765,761.88
  5. Step 5: Solve for x
    x = 271,765,761.88/25,012.60
  6. Step 6: Final answer
    x = 10,865.15

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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.