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Finding the Fourth Proportional to 8,048.42, 12,077.76 and 4,353.20

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Solution

The fourth proportional to 8,048.42, 12,077.76 and 4,353.20 is: 6,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.42 : 12,077.76 = 4,353.20 : x
  2. Step 2: Convert to fraction form
    8,048.42/12,077.76 = 4,353.20/x
  3. Step 3: Cross multiply
    8,048.42x = 12,077.76 × 4,353.20
  4. Step 4: Simplify right side
    8,048.42x = 52,576,904.83
  5. Step 5: Solve for x
    x = 52,576,904.83/8,048.42
  6. Step 6: Final answer
    x = 6,532.57

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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.