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Finding the Fourth Proportional to 11,386.78, 17,081.59 and 6,114.54

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Solution

The fourth proportional to 11,386.78, 17,081.59 and 6,114.54 is: 9,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.78 : 17,081.59 = 6,114.54 : x
  2. Step 2: Convert to fraction form
    11,386.78/17,081.59 = 6,114.54/x
  3. Step 3: Cross multiply
    11,386.78x = 17,081.59 × 6,114.54
  4. Step 4: Simplify right side
    11,386.78x = 104,446,065.32
  5. Step 5: Solve for x
    x = 104,446,065.32/11,386.78
  6. Step 6: Final answer
    x = 9,172.58

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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.