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Finding the Fourth Proportional to 11,571.88, 17,358.63 and 4,646.38

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Solution

The fourth proportional to 11,571.88, 17,358.63 and 4,646.38 is: 6,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.88 : 17,358.63 = 4,646.38 : x
  2. Step 2: Convert to fraction form
    11,571.88/17,358.63 = 4,646.38/x
  3. Step 3: Cross multiply
    11,571.88x = 17,358.63 × 4,646.38
  4. Step 4: Simplify right side
    11,571.88x = 80,654,681.23
  5. Step 5: Solve for x
    x = 80,654,681.23/11,571.88
  6. Step 6: Final answer
    x = 6,969.89

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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.