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Finding the Fourth Proportional to 8,187.63, 11,299.02 and 6,397.17

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Solution

The fourth proportional to 8,187.63, 11,299.02 and 6,397.17 is: 8,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.63 : 11,299.02 = 6,397.17 : x
  2. Step 2: Convert to fraction form
    8,187.63/11,299.02 = 6,397.17/x
  3. Step 3: Cross multiply
    8,187.63x = 11,299.02 × 6,397.17
  4. Step 4: Simplify right side
    8,187.63x = 72,281,751.77
  5. Step 5: Solve for x
    x = 72,281,751.77/8,187.63
  6. Step 6: Final answer
    x = 8,828.17

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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.