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Finding the Fourth Proportional to 11,598.35, 17,400.74 and 3,812.63

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Solution

The fourth proportional to 11,598.35, 17,400.74 and 3,812.63 is: 5,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.35 : 17,400.74 = 3,812.63 : x
  2. Step 2: Convert to fraction form
    11,598.35/17,400.74 = 3,812.63/x
  3. Step 3: Cross multiply
    11,598.35x = 17,400.74 × 3,812.63
  4. Step 4: Simplify right side
    11,598.35x = 66,342,477.28
  5. Step 5: Solve for x
    x = 66,342,477.28/11,598.35
  6. Step 6: Final answer
    x = 5,720.00

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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.