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Finding the Fourth Proportional to 11,796.02, 17,707.35 and 8,071.63

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Solution

The fourth proportional to 11,796.02, 17,707.35 and 8,071.63 is: 12,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.02 : 17,707.35 = 8,071.63 : x
  2. Step 2: Convert to fraction form
    11,796.02/17,707.35 = 8,071.63/x
  3. Step 3: Cross multiply
    11,796.02x = 17,707.35 × 8,071.63
  4. Step 4: Simplify right side
    11,796.02x = 142,927,088.94
  5. Step 5: Solve for x
    x = 142,927,088.94/11,796.02
  6. Step 6: Final answer
    x = 12,116.56

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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.