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Finding the Fourth Proportional to 28,517.84, 42,771 and 7,741.52

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Solution

The fourth proportional to 28,517.84, 42,771 and 7,741.52 is: 11,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,517.84 : 42,771 = 7,741.52 : x
  2. Step 2: Convert to fraction form
    28,517.84/42,771 = 7,741.52/x
  3. Step 3: Cross multiply
    28,517.84x = 42,771 × 7,741.52
  4. Step 4: Simplify right side
    28,517.84x = 331,112,551.92
  5. Step 5: Solve for x
    x = 331,112,551.92/28,517.84
  6. Step 6: Final answer
    x = 11,610.72

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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.