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Finding the Fourth Proportional to 8,258.84, 11,385.96 and 5,896.88

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Solution

The fourth proportional to 8,258.84, 11,385.96 and 5,896.88 is: 8,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.84 : 11,385.96 = 5,896.88 : x
  2. Step 2: Convert to fraction form
    8,258.84/11,385.96 = 5,896.88/x
  3. Step 3: Cross multiply
    8,258.84x = 11,385.96 × 5,896.88
  4. Step 4: Simplify right side
    8,258.84x = 67,141,639.80
  5. Step 5: Solve for x
    x = 67,141,639.80/8,258.84
  6. Step 6: Final answer
    x = 8,129.67

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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.