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Finding the Fourth Proportional to 28,262.50, 42,400.53 and 8,539.84

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Solution

The fourth proportional to 28,262.50, 42,400.53 and 8,539.84 is: 12,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,262.50 : 42,400.53 = 8,539.84 : x
  2. Step 2: Convert to fraction form
    28,262.50/42,400.53 = 8,539.84/x
  3. Step 3: Cross multiply
    28,262.50x = 42,400.53 × 8,539.84
  4. Step 4: Simplify right side
    28,262.50x = 362,093,742.12
  5. Step 5: Solve for x
    x = 362,093,742.12/28,262.50
  6. Step 6: Final answer
    x = 12,811.81

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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.