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Finding the Fourth Proportional to 11,461.10, 17,193.47 and 4,064.48

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Solution

The fourth proportional to 11,461.10, 17,193.47 and 4,064.48 is: 6,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.10 : 17,193.47 = 4,064.48 : x
  2. Step 2: Convert to fraction form
    11,461.10/17,193.47 = 4,064.48/x
  3. Step 3: Cross multiply
    11,461.10x = 17,193.47 × 4,064.48
  4. Step 4: Simplify right side
    11,461.10x = 69,882,473.13
  5. Step 5: Solve for x
    x = 69,882,473.13/11,461.10
  6. Step 6: Final answer
    x = 6,097.36

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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.