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Finding the Fourth Proportional to 12,777.50, 17,628.84 and 7,740.11

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Solution

The fourth proportional to 12,777.50, 17,628.84 and 7,740.11 is: 10,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.50 : 17,628.84 = 7,740.11 : x
  2. Step 2: Convert to fraction form
    12,777.50/17,628.84 = 7,740.11/x
  3. Step 3: Cross multiply
    12,777.50x = 17,628.84 × 7,740.11
  4. Step 4: Simplify right side
    12,777.50x = 136,449,204.84
  5. Step 5: Solve for x
    x = 136,449,204.84/12,777.50
  6. Step 6: Final answer
    x = 10,678.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.