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Finding the Fourth Proportional to 11,752.35, 17,626.79 and 3,430.14

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Solution

The fourth proportional to 11,752.35, 17,626.79 and 3,430.14 is: 5,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.35 : 17,626.79 = 3,430.14 : x
  2. Step 2: Convert to fraction form
    11,752.35/17,626.79 = 3,430.14/x
  3. Step 3: Cross multiply
    11,752.35x = 17,626.79 × 3,430.14
  4. Step 4: Simplify right side
    11,752.35x = 60,462,340.30
  5. Step 5: Solve for x
    x = 60,462,340.30/11,752.35
  6. Step 6: Final answer
    x = 5,144.70

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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.