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Finding the Fourth Proportional to 11,777.47, 17,681.20 and 7,634.81

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Solution

The fourth proportional to 11,777.47, 17,681.20 and 7,634.81 is: 11,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.47 : 17,681.20 = 7,634.81 : x
  2. Step 2: Convert to fraction form
    11,777.47/17,681.20 = 7,634.81/x
  3. Step 3: Cross multiply
    11,777.47x = 17,681.20 × 7,634.81
  4. Step 4: Simplify right side
    11,777.47x = 134,992,571.18
  5. Step 5: Solve for x
    x = 134,992,571.18/11,777.47
  6. Step 6: Final answer
    x = 11,461.94

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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.