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Finding the Fourth Proportional to 8,404.96, 12,607.20 and 2,561.32

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Solution

The fourth proportional to 8,404.96, 12,607.20 and 2,561.32 is: 3,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.96 : 12,607.20 = 2,561.32 : x
  2. Step 2: Convert to fraction form
    8,404.96/12,607.20 = 2,561.32/x
  3. Step 3: Cross multiply
    8,404.96x = 12,607.20 × 2,561.32
  4. Step 4: Simplify right side
    8,404.96x = 32,291,073.50
  5. Step 5: Solve for x
    x = 32,291,073.50/8,404.96
  6. Step 6: Final answer
    x = 3,841.91

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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.