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Finding the Fourth Proportional to 25,193.22, 37,788.03 and 7,662

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Solution

The fourth proportional to 25,193.22, 37,788.03 and 7,662 is: 11,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.22 : 37,788.03 = 7,662 : x
  2. Step 2: Convert to fraction form
    25,193.22/37,788.03 = 7,662/x
  3. Step 3: Cross multiply
    25,193.22x = 37,788.03 × 7,662
  4. Step 4: Simplify right side
    25,193.22x = 289,531,885.86
  5. Step 5: Solve for x
    x = 289,531,885.86/25,193.22
  6. Step 6: Final answer
    x = 11,492.45

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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.