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Finding the Fourth Proportional to 8,423.72, 12,629.96 and 4,038.80

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Solution

The fourth proportional to 8,423.72, 12,629.96 and 4,038.80 is: 6,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.72 : 12,629.96 = 4,038.80 : x
  2. Step 2: Convert to fraction form
    8,423.72/12,629.96 = 4,038.80/x
  3. Step 3: Cross multiply
    8,423.72x = 12,629.96 × 4,038.80
  4. Step 4: Simplify right side
    8,423.72x = 51,009,882.45
  5. Step 5: Solve for x
    x = 51,009,882.45/8,423.72
  6. Step 6: Final answer
    x = 6,055.51

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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.