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Finding the Fourth Proportional to 11,902.40, 17,848.80 and 4,107.20

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Solution

The fourth proportional to 11,902.40, 17,848.80 and 4,107.20 is: 6,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.40 : 17,848.80 = 4,107.20 : x
  2. Step 2: Convert to fraction form
    11,902.40/17,848.80 = 4,107.20/x
  3. Step 3: Cross multiply
    11,902.40x = 17,848.80 × 4,107.20
  4. Step 4: Simplify right side
    11,902.40x = 73,308,591.36
  5. Step 5: Solve for x
    x = 73,308,591.36/11,902.40
  6. Step 6: Final answer
    x = 6,159.14

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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.