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Finding the Fourth Proportional to 8,465.10, 12,678.09 and 8,063.34

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Solution

The fourth proportional to 8,465.10, 12,678.09 and 8,063.34 is: 12,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.10 : 12,678.09 = 8,063.34 : x
  2. Step 2: Convert to fraction form
    8,465.10/12,678.09 = 8,063.34/x
  3. Step 3: Cross multiply
    8,465.10x = 12,678.09 × 8,063.34
  4. Step 4: Simplify right side
    8,465.10x = 102,227,750.22
  5. Step 5: Solve for x
    x = 102,227,750.22/8,465.10
  6. Step 6: Final answer
    x = 12,076.38

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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.