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Finding the Fourth Proportional to 11,332.00, 15,638.37 and 6,296.69

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Solution

The fourth proportional to 11,332.00, 15,638.37 and 6,296.69 is: 8,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.00 : 15,638.37 = 6,296.69 : x
  2. Step 2: Convert to fraction form
    11,332.00/15,638.37 = 6,296.69/x
  3. Step 3: Cross multiply
    11,332.00x = 15,638.37 × 6,296.69
  4. Step 4: Simplify right side
    11,332.00x = 98,469,895.51
  5. Step 5: Solve for x
    x = 98,469,895.51/11,332.00
  6. Step 6: Final answer
    x = 8,689.54

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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.