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Finding the Fourth Proportional to 7,872.45, 10,865.00 and 4,514.60

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Solution

The fourth proportional to 7,872.45, 10,865.00 and 4,514.60 is: 6,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.45 : 10,865.00 = 4,514.60 : x
  2. Step 2: Convert to fraction form
    7,872.45/10,865.00 = 4,514.60/x
  3. Step 3: Cross multiply
    7,872.45x = 10,865.00 × 4,514.60
  4. Step 4: Simplify right side
    7,872.45x = 49,051,167.45
  5. Step 5: Solve for x
    x = 49,051,167.45/7,872.45
  6. Step 6: Final answer
    x = 6,230.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.