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Finding the Fourth Proportional to 8,396.42, 12,594.90 and 2,553

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Solution

The fourth proportional to 8,396.42, 12,594.90 and 2,553 is: 3,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.42 : 12,594.90 = 2,553 : x
  2. Step 2: Convert to fraction form
    8,396.42/12,594.90 = 2,553/x
  3. Step 3: Cross multiply
    8,396.42x = 12,594.90 × 2,553
  4. Step 4: Simplify right side
    8,396.42x = 32,154,779.70
  5. Step 5: Solve for x
    x = 32,154,779.70/8,396.42
  6. Step 6: Final answer
    x = 3,829.58

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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.