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Finding the Fourth Proportional to 6,770.58, 10,146.12 and 3,842.70

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Solution

The fourth proportional to 6,770.58, 10,146.12 and 3,842.70 is: 5,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.58 : 10,146.12 = 3,842.70 : x
  2. Step 2: Convert to fraction form
    6,770.58/10,146.12 = 3,842.70/x
  3. Step 3: Cross multiply
    6,770.58x = 10,146.12 × 3,842.70
  4. Step 4: Simplify right side
    6,770.58x = 38,988,495.32
  5. Step 5: Solve for x
    x = 38,988,495.32/6,770.58
  6. Step 6: Final answer
    x = 5,758.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.