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Finding the Fourth Proportional to 11,643.07, 17,454.80 and 5,064.30

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Solution

The fourth proportional to 11,643.07, 17,454.80 and 5,064.30 is: 7,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.07 : 17,454.80 = 5,064.30 : x
  2. Step 2: Convert to fraction form
    11,643.07/17,454.80 = 5,064.30/x
  3. Step 3: Cross multiply
    11,643.07x = 17,454.80 × 5,064.30
  4. Step 4: Simplify right side
    11,643.07x = 88,396,290.85
  5. Step 5: Solve for x
    x = 88,396,290.85/11,643.07
  6. Step 6: Final answer
    x = 7,592.18

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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.