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Finding the Fourth Proportional to 11,711.63, 17,566.14 and 2,946.54

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Solution

The fourth proportional to 11,711.63, 17,566.14 and 2,946.54 is: 4,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.63 : 17,566.14 = 2,946.54 : x
  2. Step 2: Convert to fraction form
    11,711.63/17,566.14 = 2,946.54/x
  3. Step 3: Cross multiply
    11,711.63x = 17,566.14 × 2,946.54
  4. Step 4: Simplify right side
    11,711.63x = 51,759,334.16
  5. Step 5: Solve for x
    x = 51,759,334.16/11,711.63
  6. Step 6: Final answer
    x = 4,419.48

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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.