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Finding the Fourth Proportional to 11,657.44, 17,484.36 and 3,866.32

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Solution

The fourth proportional to 11,657.44, 17,484.36 and 3,866.32 is: 5,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.44 : 17,484.36 = 3,866.32 : x
  2. Step 2: Convert to fraction form
    11,657.44/17,484.36 = 3,866.32/x
  3. Step 3: Cross multiply
    11,657.44x = 17,484.36 × 3,866.32
  4. Step 4: Simplify right side
    11,657.44x = 67,600,130.76
  5. Step 5: Solve for x
    x = 67,600,130.76/11,657.44
  6. Step 6: Final answer
    x = 5,798.88

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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.