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Finding the Fourth Proportional to 11,701.81, 17,552.94 and 5,460.13

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Solution

The fourth proportional to 11,701.81, 17,552.94 and 5,460.13 is: 8,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.81 : 17,552.94 = 5,460.13 : x
  2. Step 2: Convert to fraction form
    11,701.81/17,552.94 = 5,460.13/x
  3. Step 3: Cross multiply
    11,701.81x = 17,552.94 × 5,460.13
  4. Step 4: Simplify right side
    11,701.81x = 95,841,290.40
  5. Step 5: Solve for x
    x = 95,841,290.40/11,701.81
  6. Step 6: Final answer
    x = 8,190.30

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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.