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Finding the Fourth Proportional to 7,849.88, 11,777.16 and 3,167.48

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Solution

The fourth proportional to 7,849.88, 11,777.16 and 3,167.48 is: 4,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.88 : 11,777.16 = 3,167.48 : x
  2. Step 2: Convert to fraction form
    7,849.88/11,777.16 = 3,167.48/x
  3. Step 3: Cross multiply
    7,849.88x = 11,777.16 × 3,167.48
  4. Step 4: Simplify right side
    7,849.88x = 37,303,918.76
  5. Step 5: Solve for x
    x = 37,303,918.76/7,849.88
  6. Step 6: Final answer
    x = 4,752.16

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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.