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Finding the Fourth Proportional to 8,280.47, 11,423.68 and 4,694.68

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Solution

The fourth proportional to 8,280.47, 11,423.68 and 4,694.68 is: 6,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.47 : 11,423.68 = 4,694.68 : x
  2. Step 2: Convert to fraction form
    8,280.47/11,423.68 = 4,694.68/x
  3. Step 3: Cross multiply
    8,280.47x = 11,423.68 × 4,694.68
  4. Step 4: Simplify right side
    8,280.47x = 53,630,464.90
  5. Step 5: Solve for x
    x = 53,630,464.90/8,280.47
  6. Step 6: Final answer
    x = 6,476.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.