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Finding the Fourth Proportional to 11,774.34, 17,668.40 and 4,384.04

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Solution

The fourth proportional to 11,774.34, 17,668.40 and 4,384.04 is: 6,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.34 : 17,668.40 = 4,384.04 : x
  2. Step 2: Convert to fraction form
    11,774.34/17,668.40 = 4,384.04/x
  3. Step 3: Cross multiply
    11,774.34x = 17,668.40 × 4,384.04
  4. Step 4: Simplify right side
    11,774.34x = 77,458,862.07
  5. Step 5: Solve for x
    x = 77,458,862.07/11,774.34
  6. Step 6: Final answer
    x = 6,578.62

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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.