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Finding the Fourth Proportional to 8,064.80, 12,077.76 and 5,459.84

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Solution

The fourth proportional to 8,064.80, 12,077.76 and 5,459.84 is: 8,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.80 : 12,077.76 = 5,459.84 : x
  2. Step 2: Convert to fraction form
    8,064.80/12,077.76 = 5,459.84/x
  3. Step 3: Cross multiply
    8,064.80x = 12,077.76 × 5,459.84
  4. Step 4: Simplify right side
    8,064.80x = 65,942,637.16
  5. Step 5: Solve for x
    x = 65,942,637.16/8,064.80
  6. Step 6: Final answer
    x = 8,176.60

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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.