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Finding the Fourth Proportional to 7,180.36, 9,904.60 and 4,381

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Solution

The fourth proportional to 7,180.36, 9,904.60 and 4,381 is: 6,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.36 : 9,904.60 = 4,381 : x
  2. Step 2: Convert to fraction form
    7,180.36/9,904.60 = 4,381/x
  3. Step 3: Cross multiply
    7,180.36x = 9,904.60 × 4,381
  4. Step 4: Simplify right side
    7,180.36x = 43,392,052.60
  5. Step 5: Solve for x
    x = 43,392,052.60/7,180.36
  6. Step 6: Final answer
    x = 6,043.16

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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.