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Finding the Fourth Proportional to 8,274.04, 11,416.62 and 5,131

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Solution

The fourth proportional to 8,274.04, 11,416.62 and 5,131 is: 7,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.04 : 11,416.62 = 5,131 : x
  2. Step 2: Convert to fraction form
    8,274.04/11,416.62 = 5,131/x
  3. Step 3: Cross multiply
    8,274.04x = 11,416.62 × 5,131
  4. Step 4: Simplify right side
    8,274.04x = 58,578,677.22
  5. Step 5: Solve for x
    x = 58,578,677.22/8,274.04
  6. Step 6: Final answer
    x = 7,079.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.