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Finding the Fourth Proportional to 8,596.14, 12,894.57 and 2,753.58

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Solution

The fourth proportional to 8,596.14, 12,894.57 and 2,753.58 is: 4,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.14 : 12,894.57 = 2,753.58 : x
  2. Step 2: Convert to fraction form
    8,596.14/12,894.57 = 2,753.58/x
  3. Step 3: Cross multiply
    8,596.14x = 12,894.57 × 2,753.58
  4. Step 4: Simplify right side
    8,596.14x = 35,506,230.06
  5. Step 5: Solve for x
    x = 35,506,230.06/8,596.14
  6. Step 6: Final answer
    x = 4,130.49

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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.