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Finding the Fourth Proportional to 6,957.27, 10,417.68 and 4,770.27

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Solution

The fourth proportional to 6,957.27, 10,417.68 and 4,770.27 is: 7,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.27 : 10,417.68 = 4,770.27 : x
  2. Step 2: Convert to fraction form
    6,957.27/10,417.68 = 4,770.27/x
  3. Step 3: Cross multiply
    6,957.27x = 10,417.68 × 4,770.27
  4. Step 4: Simplify right side
    6,957.27x = 49,695,146.37
  5. Step 5: Solve for x
    x = 49,695,146.37/6,957.27
  6. Step 6: Final answer
    x = 7,142.91

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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.