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Finding the Fourth Proportional to 11,386.74, 17,080.88 and 5,464.94

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Solution

The fourth proportional to 11,386.74, 17,080.88 and 5,464.94 is: 8,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.74 : 17,080.88 = 5,464.94 : x
  2. Step 2: Convert to fraction form
    11,386.74/17,080.88 = 5,464.94/x
  3. Step 3: Cross multiply
    11,386.74x = 17,080.88 × 5,464.94
  4. Step 4: Simplify right side
    11,386.74x = 93,345,871.62
  5. Step 5: Solve for x
    x = 93,345,871.62/11,386.74
  6. Step 6: Final answer
    x = 8,197.77

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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.