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Finding the Fourth Proportional to 11,006.93, 15,194.82 and 6,975.77

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Solution

The fourth proportional to 11,006.93, 15,194.82 and 6,975.77 is: 9,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.93 : 15,194.82 = 6,975.77 : x
  2. Step 2: Convert to fraction form
    11,006.93/15,194.82 = 6,975.77/x
  3. Step 3: Cross multiply
    11,006.93x = 15,194.82 × 6,975.77
  4. Step 4: Simplify right side
    11,006.93x = 105,995,569.51
  5. Step 5: Solve for x
    x = 105,995,569.51/11,006.93
  6. Step 6: Final answer
    x = 9,629.89

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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.