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Finding the Fourth Proportional to 8,242.88, 11,375.18 and 4,706.01

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Solution

The fourth proportional to 8,242.88, 11,375.18 and 4,706.01 is: 6,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.88 : 11,375.18 = 4,706.01 : x
  2. Step 2: Convert to fraction form
    8,242.88/11,375.18 = 4,706.01/x
  3. Step 3: Cross multiply
    8,242.88x = 11,375.18 × 4,706.01
  4. Step 4: Simplify right side
    8,242.88x = 53,531,710.83
  5. Step 5: Solve for x
    x = 53,531,710.83/8,242.88
  6. Step 6: Final answer
    x = 6,494.30

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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.