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Finding the Fourth Proportional to 7,760.12, 10,702.69 and 4,770.62

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Solution

The fourth proportional to 7,760.12, 10,702.69 and 4,770.62 is: 6,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.12 : 10,702.69 = 4,770.62 : x
  2. Step 2: Convert to fraction form
    7,760.12/10,702.69 = 4,770.62/x
  3. Step 3: Cross multiply
    7,760.12x = 10,702.69 × 4,770.62
  4. Step 4: Simplify right side
    7,760.12x = 51,058,401.53
  5. Step 5: Solve for x
    x = 51,058,401.53/7,760.12
  6. Step 6: Final answer
    x = 6,579.59

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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.