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Finding the Fourth Proportional to 8,065.29, 12,094.86 and 3,134.34

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Solution

The fourth proportional to 8,065.29, 12,094.86 and 3,134.34 is: 4,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.29 : 12,094.86 = 3,134.34 : x
  2. Step 2: Convert to fraction form
    8,065.29/12,094.86 = 3,134.34/x
  3. Step 3: Cross multiply
    8,065.29x = 12,094.86 × 3,134.34
  4. Step 4: Simplify right side
    8,065.29x = 37,909,403.49
  5. Step 5: Solve for x
    x = 37,909,403.49/8,065.29
  6. Step 6: Final answer
    x = 4,700.31

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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.