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Finding the Fourth Proportional to 8,395.96, 12,595.74 and 2,553.04

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Solution

The fourth proportional to 8,395.96, 12,595.74 and 2,553.04 is: 3,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.96 : 12,595.74 = 2,553.04 : x
  2. Step 2: Convert to fraction form
    8,395.96/12,595.74 = 2,553.04/x
  3. Step 3: Cross multiply
    8,395.96x = 12,595.74 × 2,553.04
  4. Step 4: Simplify right side
    8,395.96x = 32,157,428.05
  5. Step 5: Solve for x
    x = 32,157,428.05/8,395.96
  6. Step 6: Final answer
    x = 3,830.11

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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.