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Finding the Fourth Proportional to 6,651.80, 9,992.10 and 4,707.80

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Solution

The fourth proportional to 6,651.80, 9,992.10 and 4,707.80 is: 7,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.80 : 9,992.10 = 4,707.80 : x
  2. Step 2: Convert to fraction form
    6,651.80/9,992.10 = 4,707.80/x
  3. Step 3: Cross multiply
    6,651.80x = 9,992.10 × 4,707.80
  4. Step 4: Simplify right side
    6,651.80x = 47,040,808.38
  5. Step 5: Solve for x
    x = 47,040,808.38/6,651.80
  6. Step 6: Final answer
    x = 7,071.89

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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.