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Finding the Fourth Proportional to 10,656.88, 14,706.20 and 5,941.04

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Solution

The fourth proportional to 10,656.88, 14,706.20 and 5,941.04 is: 8,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.88 : 14,706.20 = 5,941.04 : x
  2. Step 2: Convert to fraction form
    10,656.88/14,706.20 = 5,941.04/x
  3. Step 3: Cross multiply
    10,656.88x = 14,706.20 × 5,941.04
  4. Step 4: Simplify right side
    10,656.88x = 87,370,122.45
  5. Step 5: Solve for x
    x = 87,370,122.45/10,656.88
  6. Step 6: Final answer
    x = 8,198.47

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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.