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Finding the Fourth Proportional to 7,801.25, 10,765.89 and 4,264.46

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Solution

The fourth proportional to 7,801.25, 10,765.89 and 4,264.46 is: 5,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.25 : 10,765.89 = 4,264.46 : x
  2. Step 2: Convert to fraction form
    7,801.25/10,765.89 = 4,264.46/x
  3. Step 3: Cross multiply
    7,801.25x = 10,765.89 × 4,264.46
  4. Step 4: Simplify right side
    7,801.25x = 45,910,680.35
  5. Step 5: Solve for x
    x = 45,910,680.35/7,801.25
  6. Step 6: Final answer
    x = 5,885.05

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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.