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Finding the Fourth Proportional to 11,782.98, 17,670.14 and 3,460.86

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Solution

The fourth proportional to 11,782.98, 17,670.14 and 3,460.86 is: 5,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.98 : 17,670.14 = 3,460.86 : x
  2. Step 2: Convert to fraction form
    11,782.98/17,670.14 = 3,460.86/x
  3. Step 3: Cross multiply
    11,782.98x = 17,670.14 × 3,460.86
  4. Step 4: Simplify right side
    11,782.98x = 61,153,880.72
  5. Step 5: Solve for x
    x = 61,153,880.72/11,782.98
  6. Step 6: Final answer
    x = 5,190.02

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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.