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Finding the Fourth Proportional to 11,513.63, 15,879.01 and 6,975.26

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Solution

The fourth proportional to 11,513.63, 15,879.01 and 6,975.26 is: 9,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.63 : 15,879.01 = 6,975.26 : x
  2. Step 2: Convert to fraction form
    11,513.63/15,879.01 = 6,975.26/x
  3. Step 3: Cross multiply
    11,513.63x = 15,879.01 × 6,975.26
  4. Step 4: Simplify right side
    11,513.63x = 110,760,308.02
  5. Step 5: Solve for x
    x = 110,760,308.02/11,513.63
  6. Step 6: Final answer
    x = 9,619.93

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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.