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Finding the Fourth Proportional to 11,668.72, 17,483.28 and 7,042

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Solution

The fourth proportional to 11,668.72, 17,483.28 and 7,042 is: 10,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.72 : 17,483.28 = 7,042 : x
  2. Step 2: Convert to fraction form
    11,668.72/17,483.28 = 7,042/x
  3. Step 3: Cross multiply
    11,668.72x = 17,483.28 × 7,042
  4. Step 4: Simplify right side
    11,668.72x = 123,117,257.76
  5. Step 5: Solve for x
    x = 123,117,257.76/11,668.72
  6. Step 6: Final answer
    x = 10,551.05

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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.