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Finding the Fourth Proportional to 7,924.19, 10,926.18 and 6,427.44

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Solution

The fourth proportional to 7,924.19, 10,926.18 and 6,427.44 is: 8,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.19 : 10,926.18 = 6,427.44 : x
  2. Step 2: Convert to fraction form
    7,924.19/10,926.18 = 6,427.44/x
  3. Step 3: Cross multiply
    7,924.19x = 10,926.18 × 6,427.44
  4. Step 4: Simplify right side
    7,924.19x = 70,227,366.38
  5. Step 5: Solve for x
    x = 70,227,366.38/7,924.19
  6. Step 6: Final answer
    x = 8,862.41

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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.