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Finding the Fourth Proportional to 10,706.45, 14,774.41 and 5,926.57

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Solution

The fourth proportional to 10,706.45, 14,774.41 and 5,926.57 is: 8,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.45 : 14,774.41 = 5,926.57 : x
  2. Step 2: Convert to fraction form
    10,706.45/14,774.41 = 5,926.57/x
  3. Step 3: Cross multiply
    10,706.45x = 14,774.41 × 5,926.57
  4. Step 4: Simplify right side
    10,706.45x = 87,561,552.95
  5. Step 5: Solve for x
    x = 87,561,552.95/10,706.45
  6. Step 6: Final answer
    x = 8,178.40

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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.