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Finding the Fourth Proportional to 8,242.25, 11,375.12 and 4,706.00

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Solution

The fourth proportional to 8,242.25, 11,375.12 and 4,706.00 is: 6,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.25 : 11,375.12 = 4,706.00 : x
  2. Step 2: Convert to fraction form
    8,242.25/11,375.12 = 4,706.00/x
  3. Step 3: Cross multiply
    8,242.25x = 11,375.12 × 4,706.00
  4. Step 4: Simplify right side
    8,242.25x = 53,531,269.61
  5. Step 5: Solve for x
    x = 53,531,269.61/8,242.25
  6. Step 6: Final answer
    x = 6,494.74

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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.