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Finding the Fourth Proportional to 8,094.72, 12,145.92 and 4,814.28

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Solution

The fourth proportional to 8,094.72, 12,145.92 and 4,814.28 is: 7,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.72 : 12,145.92 = 4,814.28 : x
  2. Step 2: Convert to fraction form
    8,094.72/12,145.92 = 4,814.28/x
  3. Step 3: Cross multiply
    8,094.72x = 12,145.92 × 4,814.28
  4. Step 4: Simplify right side
    8,094.72x = 58,473,859.74
  5. Step 5: Solve for x
    x = 58,473,859.74/8,094.72
  6. Step 6: Final answer
    x = 7,223.70

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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.