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Finding the Fourth Proportional to 8,184.58, 12,278.40 and 4,484.77

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Solution

The fourth proportional to 8,184.58, 12,278.40 and 4,484.77 is: 6,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.58 : 12,278.40 = 4,484.77 : x
  2. Step 2: Convert to fraction form
    8,184.58/12,278.40 = 4,484.77/x
  3. Step 3: Cross multiply
    8,184.58x = 12,278.40 × 4,484.77
  4. Step 4: Simplify right side
    8,184.58x = 55,065,799.97
  5. Step 5: Solve for x
    x = 55,065,799.97/8,184.58
  6. Step 6: Final answer
    x = 6,727.99

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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.