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Finding the Fourth Proportional to 7,801.78, 10,766.46 and 4,265

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Solution

The fourth proportional to 7,801.78, 10,766.46 and 4,265 is: 5,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.78 : 10,766.46 = 4,265 : x
  2. Step 2: Convert to fraction form
    7,801.78/10,766.46 = 4,265/x
  3. Step 3: Cross multiply
    7,801.78x = 10,766.46 × 4,265
  4. Step 4: Simplify right side
    7,801.78x = 45,918,951.90
  5. Step 5: Solve for x
    x = 45,918,951.90/7,801.78
  6. Step 6: Final answer
    x = 5,885.70

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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.