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Finding the Fourth Proportional to 11,893.32, 17,848.17 and 4,102.13

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Solution

The fourth proportional to 11,893.32, 17,848.17 and 4,102.13 is: 6,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.32 : 17,848.17 = 4,102.13 : x
  2. Step 2: Convert to fraction form
    11,893.32/17,848.17 = 4,102.13/x
  3. Step 3: Cross multiply
    11,893.32x = 17,848.17 × 4,102.13
  4. Step 4: Simplify right side
    11,893.32x = 73,215,424.36
  5. Step 5: Solve for x
    x = 73,215,424.36/11,893.32
  6. Step 6: Final answer
    x = 6,156.01

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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.