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Finding the Fourth Proportional to 10,233.65, 14,124.17 and 5,926.12

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Solution

The fourth proportional to 10,233.65, 14,124.17 and 5,926.12 is: 8,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.65 : 14,124.17 = 5,926.12 : x
  2. Step 2: Convert to fraction form
    10,233.65/14,124.17 = 5,926.12/x
  3. Step 3: Cross multiply
    10,233.65x = 14,124.17 × 5,926.12
  4. Step 4: Simplify right side
    10,233.65x = 83,701,461.38
  5. Step 5: Solve for x
    x = 83,701,461.38/10,233.65
  6. Step 6: Final answer
    x = 8,179.04

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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.