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Finding the Fourth Proportional to 8,405.19, 12,607.68 and 2,561.79

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Solution

The fourth proportional to 8,405.19, 12,607.68 and 2,561.79 is: 3,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.19 : 12,607.68 = 2,561.79 : x
  2. Step 2: Convert to fraction form
    8,405.19/12,607.68 = 2,561.79/x
  3. Step 3: Cross multiply
    8,405.19x = 12,607.68 × 2,561.79
  4. Step 4: Simplify right side
    8,405.19x = 32,298,228.55
  5. Step 5: Solve for x
    x = 32,298,228.55/8,405.19
  6. Step 6: Final answer
    x = 3,842.65

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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.