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Finding the Fourth Proportional to 28,514.61, 42,771.20 and 7,737.57

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Solution

The fourth proportional to 28,514.61, 42,771.20 and 7,737.57 is: 11,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514.61 : 42,771.20 = 7,737.57 : x
  2. Step 2: Convert to fraction form
    28,514.61/42,771.20 = 7,737.57/x
  3. Step 3: Cross multiply
    28,514.61x = 42,771.20 × 7,737.57
  4. Step 4: Simplify right side
    28,514.61x = 330,945,115.30
  5. Step 5: Solve for x
    x = 330,945,115.30/28,514.61
  6. Step 6: Final answer
    x = 11,606.16

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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.