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Finding the Fourth Proportional to 10,258.58, 15,388.44 and 3,238.76

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Solution

The fourth proportional to 10,258.58, 15,388.44 and 3,238.76 is: 4,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.58 : 15,388.44 = 3,238.76 : x
  2. Step 2: Convert to fraction form
    10,258.58/15,388.44 = 3,238.76/x
  3. Step 3: Cross multiply
    10,258.58x = 15,388.44 × 3,238.76
  4. Step 4: Simplify right side
    10,258.58x = 49,839,463.93
  5. Step 5: Solve for x
    x = 49,839,463.93/10,258.58
  6. Step 6: Final answer
    x = 4,858.32

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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.