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Finding the Fourth Proportional to 10,656.45, 14,706 and 5,876.56

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Solution

The fourth proportional to 10,656.45, 14,706 and 5,876.56 is: 8,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.45 : 14,706 = 5,876.56 : x
  2. Step 2: Convert to fraction form
    10,656.45/14,706 = 5,876.56/x
  3. Step 3: Cross multiply
    10,656.45x = 14,706 × 5,876.56
  4. Step 4: Simplify right side
    10,656.45x = 86,420,691.36
  5. Step 5: Solve for x
    x = 86,420,691.36/10,656.45
  6. Step 6: Final answer
    x = 8,109.71

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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.