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Finding the Fourth Proportional to 11,752.77, 17,627.41 and 3,430.55

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Solution

The fourth proportional to 11,752.77, 17,627.41 and 3,430.55 is: 5,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.77 : 17,627.41 = 3,430.55 : x
  2. Step 2: Convert to fraction form
    11,752.77/17,627.41 = 3,430.55/x
  3. Step 3: Cross multiply
    11,752.77x = 17,627.41 × 3,430.55
  4. Step 4: Simplify right side
    11,752.77x = 60,471,711.38
  5. Step 5: Solve for x
    x = 60,471,711.38/11,752.77
  6. Step 6: Final answer
    x = 5,145.32

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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.