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Finding the Fourth Proportional to 7,851.02, 11,776.95 and 2,007.68

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Solution

The fourth proportional to 7,851.02, 11,776.95 and 2,007.68 is: 3,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.02 : 11,776.95 = 2,007.68 : x
  2. Step 2: Convert to fraction form
    7,851.02/11,776.95 = 2,007.68/x
  3. Step 3: Cross multiply
    7,851.02x = 11,776.95 × 2,007.68
  4. Step 4: Simplify right side
    7,851.02x = 23,644,346.98
  5. Step 5: Solve for x
    x = 23,644,346.98/7,851.02
  6. Step 6: Final answer
    x = 3,011.63

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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.