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Finding the Fourth Proportional to 11,533.07, 17,305.08 and 6,862.31

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Solution

The fourth proportional to 11,533.07, 17,305.08 and 6,862.31 is: 10,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.07 : 17,305.08 = 6,862.31 : x
  2. Step 2: Convert to fraction form
    11,533.07/17,305.08 = 6,862.31/x
  3. Step 3: Cross multiply
    11,533.07x = 17,305.08 × 6,862.31
  4. Step 4: Simplify right side
    11,533.07x = 118,752,789.22
  5. Step 5: Solve for x
    x = 118,752,789.22/11,533.07
  6. Step 6: Final answer
    x = 10,296.72

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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.