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Finding the Fourth Proportional to 8,094.76, 12,145.10 and 3,415.94

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Solution

The fourth proportional to 8,094.76, 12,145.10 and 3,415.94 is: 5,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.76 : 12,145.10 = 3,415.94 : x
  2. Step 2: Convert to fraction form
    8,094.76/12,145.10 = 3,415.94/x
  3. Step 3: Cross multiply
    8,094.76x = 12,145.10 × 3,415.94
  4. Step 4: Simplify right side
    8,094.76x = 41,486,932.89
  5. Step 5: Solve for x
    x = 41,486,932.89/8,094.76
  6. Step 6: Final answer
    x = 5,125.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.