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Finding the Fourth Proportional to 28,524.32, 42,782.82 and 7,465.80

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Solution

The fourth proportional to 28,524.32, 42,782.82 and 7,465.80 is: 11,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524.32 : 42,782.82 = 7,465.80 : x
  2. Step 2: Convert to fraction form
    28,524.32/42,782.82 = 7,465.80/x
  3. Step 3: Cross multiply
    28,524.32x = 42,782.82 × 7,465.80
  4. Step 4: Simplify right side
    28,524.32x = 319,408,109.99
  5. Step 5: Solve for x
    x = 319,408,109.99/28,524.32
  6. Step 6: Final answer
    x = 11,197.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.