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Finding the Fourth Proportional to 11,500.83, 17,257.94 and 4,836.84

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Solution

The fourth proportional to 11,500.83, 17,257.94 and 4,836.84 is: 7,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.83 : 17,257.94 = 4,836.84 : x
  2. Step 2: Convert to fraction form
    11,500.83/17,257.94 = 4,836.84/x
  3. Step 3: Cross multiply
    11,500.83x = 17,257.94 × 4,836.84
  4. Step 4: Simplify right side
    11,500.83x = 83,473,894.51
  5. Step 5: Solve for x
    x = 83,473,894.51/11,500.83
  6. Step 6: Final answer
    x = 7,258.08

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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.