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Finding the Fourth Proportional to 10,911.51, 15,055.79 and 6,194.97

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Solution

The fourth proportional to 10,911.51, 15,055.79 and 6,194.97 is: 8,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.51 : 15,055.79 = 6,194.97 : x
  2. Step 2: Convert to fraction form
    10,911.51/15,055.79 = 6,194.97/x
  3. Step 3: Cross multiply
    10,911.51x = 15,055.79 × 6,194.97
  4. Step 4: Simplify right side
    10,911.51x = 93,270,136.40
  5. Step 5: Solve for x
    x = 93,270,136.40/10,911.51
  6. Step 6: Final answer
    x = 8,547.87

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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.