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Finding the Fourth Proportional to 11,643.47, 17,467.03 and 3,854.10

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Solution

The fourth proportional to 11,643.47, 17,467.03 and 3,854.10 is: 5,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.47 : 17,467.03 = 3,854.10 : x
  2. Step 2: Convert to fraction form
    11,643.47/17,467.03 = 3,854.10/x
  3. Step 3: Cross multiply
    11,643.47x = 17,467.03 × 3,854.10
  4. Step 4: Simplify right side
    11,643.47x = 67,319,728.96
  5. Step 5: Solve for x
    x = 67,319,728.96/11,643.47
  6. Step 6: Final answer
    x = 5,781.76

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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.