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Finding the Fourth Proportional to 8,504.61, 12,755.64 and 2,265

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Solution

The fourth proportional to 8,504.61, 12,755.64 and 2,265 is: 3,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.61 : 12,755.64 = 2,265 : x
  2. Step 2: Convert to fraction form
    8,504.61/12,755.64 = 2,265/x
  3. Step 3: Cross multiply
    8,504.61x = 12,755.64 × 2,265
  4. Step 4: Simplify right side
    8,504.61x = 28,891,524.60
  5. Step 5: Solve for x
    x = 28,891,524.60/8,504.61
  6. Step 6: Final answer
    x = 3,397.16

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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.