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Finding the Fourth Proportional to 11,830.08, 17,748 and 4,039.20

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Solution

The fourth proportional to 11,830.08, 17,748 and 4,039.20 is: 6,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.08 : 17,748 = 4,039.20 : x
  2. Step 2: Convert to fraction form
    11,830.08/17,748 = 4,039.20/x
  3. Step 3: Cross multiply
    11,830.08x = 17,748 × 4,039.20
  4. Step 4: Simplify right side
    11,830.08x = 71,687,721.60
  5. Step 5: Solve for x
    x = 71,687,721.60/11,830.08
  6. Step 6: Final answer
    x = 6,059.78

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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.