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Finding the Fourth Proportional to 8,577.63, 12,864.64 and 2,420.19

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Solution

The fourth proportional to 8,577.63, 12,864.64 and 2,420.19 is: 3,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.63 : 12,864.64 = 2,420.19 : x
  2. Step 2: Convert to fraction form
    8,577.63/12,864.64 = 2,420.19/x
  3. Step 3: Cross multiply
    8,577.63x = 12,864.64 × 2,420.19
  4. Step 4: Simplify right side
    8,577.63x = 31,134,860.98
  5. Step 5: Solve for x
    x = 31,134,860.98/8,577.63
  6. Step 6: Final answer
    x = 3,629.77

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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.