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Finding the Fourth Proportional to 8,765, 12,095.72 and 5,625.44

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Solution

The fourth proportional to 8,765, 12,095.72 and 5,625.44 is: 7,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765 : 12,095.72 = 5,625.44 : x
  2. Step 2: Convert to fraction form
    8,765/12,095.72 = 5,625.44/x
  3. Step 3: Cross multiply
    8,765x = 12,095.72 × 5,625.44
  4. Step 4: Simplify right side
    8,765x = 68,043,747.12
  5. Step 5: Solve for x
    x = 68,043,747.12/8,765
  6. Step 6: Final answer
    x = 7,763.12

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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.