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Finding the Fourth Proportional to 11,661.78, 17,499.69 and 4,642.59

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Solution

The fourth proportional to 11,661.78, 17,499.69 and 4,642.59 is: 6,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.78 : 17,499.69 = 4,642.59 : x
  2. Step 2: Convert to fraction form
    11,661.78/17,499.69 = 4,642.59/x
  3. Step 3: Cross multiply
    11,661.78x = 17,499.69 × 4,642.59
  4. Step 4: Simplify right side
    11,661.78x = 81,243,885.80
  5. Step 5: Solve for x
    x = 81,243,885.80/11,661.78
  6. Step 6: Final answer
    x = 6,966.68

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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.