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Finding the Fourth Proportional to 8,511.64, 12,685.02 and 8,068.78

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Solution

The fourth proportional to 8,511.64, 12,685.02 and 8,068.78 is: 12,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.64 : 12,685.02 = 8,068.78 : x
  2. Step 2: Convert to fraction form
    8,511.64/12,685.02 = 8,068.78/x
  3. Step 3: Cross multiply
    8,511.64x = 12,685.02 × 8,068.78
  4. Step 4: Simplify right side
    8,511.64x = 102,352,579.11
  5. Step 5: Solve for x
    x = 102,352,579.11/8,511.64
  6. Step 6: Final answer
    x = 12,025.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.