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Finding the Fourth Proportional to 8,421.76, 12,632.08 and 2,577.84

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Solution

The fourth proportional to 8,421.76, 12,632.08 and 2,577.84 is: 3,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.76 : 12,632.08 = 2,577.84 : x
  2. Step 2: Convert to fraction form
    8,421.76/12,632.08 = 2,577.84/x
  3. Step 3: Cross multiply
    8,421.76x = 12,632.08 × 2,577.84
  4. Step 4: Simplify right side
    8,421.76x = 32,563,481.11
  5. Step 5: Solve for x
    x = 32,563,481.11/8,421.76
  6. Step 6: Final answer
    x = 3,866.59

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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.