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Finding the Fourth Proportional to 8,404.80, 12,609.54 and 2,561.40

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Solution

The fourth proportional to 8,404.80, 12,609.54 and 2,561.40 is: 3,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.80 : 12,609.54 = 2,561.40 : x
  2. Step 2: Convert to fraction form
    8,404.80/12,609.54 = 2,561.40/x
  3. Step 3: Cross multiply
    8,404.80x = 12,609.54 × 2,561.40
  4. Step 4: Simplify right side
    8,404.80x = 32,298,075.76
  5. Step 5: Solve for x
    x = 32,298,075.76/8,404.80
  6. Step 6: Final answer
    x = 3,842.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.