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Finding the Fourth Proportional to 8,292.75, 11,443.14 and 4,706.57

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Solution

The fourth proportional to 8,292.75, 11,443.14 and 4,706.57 is: 6,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.75 : 11,443.14 = 4,706.57 : x
  2. Step 2: Convert to fraction form
    8,292.75/11,443.14 = 4,706.57/x
  3. Step 3: Cross multiply
    8,292.75x = 11,443.14 × 4,706.57
  4. Step 4: Simplify right side
    8,292.75x = 53,857,968.04
  5. Step 5: Solve for x
    x = 53,857,968.04/8,292.75
  6. Step 6: Final answer
    x = 6,494.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.