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Finding the Fourth Proportional to 10,343.91, 14,274.90 and 5,867.55

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Solution

The fourth proportional to 10,343.91, 14,274.90 and 5,867.55 is: 8,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.91 : 14,274.90 = 5,867.55 : x
  2. Step 2: Convert to fraction form
    10,343.91/14,274.90 = 5,867.55/x
  3. Step 3: Cross multiply
    10,343.91x = 14,274.90 × 5,867.55
  4. Step 4: Simplify right side
    10,343.91x = 83,758,689.50
  5. Step 5: Solve for x
    x = 83,758,689.50/10,343.91
  6. Step 6: Final answer
    x = 8,097.39

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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.