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Finding the Fourth Proportional to 11,467.83, 15,820.74 and 6,990.96

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Solution

The fourth proportional to 11,467.83, 15,820.74 and 6,990.96 is: 9,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.83 : 15,820.74 = 6,990.96 : x
  2. Step 2: Convert to fraction form
    11,467.83/15,820.74 = 6,990.96/x
  3. Step 3: Cross multiply
    11,467.83x = 15,820.74 × 6,990.96
  4. Step 4: Simplify right side
    11,467.83x = 110,602,160.51
  5. Step 5: Solve for x
    x = 110,602,160.51/11,467.83
  6. Step 6: Final answer
    x = 9,644.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.