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Finding the Fourth Proportional to 8,124.68, 12,184.58 and 2,577.80

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Solution

The fourth proportional to 8,124.68, 12,184.58 and 2,577.80 is: 3,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.68 : 12,184.58 = 2,577.80 : x
  2. Step 2: Convert to fraction form
    8,124.68/12,184.58 = 2,577.80/x
  3. Step 3: Cross multiply
    8,124.68x = 12,184.58 × 2,577.80
  4. Step 4: Simplify right side
    8,124.68x = 31,409,410.32
  5. Step 5: Solve for x
    x = 31,409,410.32/8,124.68
  6. Step 6: Final answer
    x = 3,865.93

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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.