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Finding the Fourth Proportional to 11,577.40, 17,366.10 and 4,182.10

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Solution

The fourth proportional to 11,577.40, 17,366.10 and 4,182.10 is: 6,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.40 : 17,366.10 = 4,182.10 : x
  2. Step 2: Convert to fraction form
    11,577.40/17,366.10 = 4,182.10/x
  3. Step 3: Cross multiply
    11,577.40x = 17,366.10 × 4,182.10
  4. Step 4: Simplify right side
    11,577.40x = 72,626,766.81
  5. Step 5: Solve for x
    x = 72,626,766.81/11,577.40
  6. Step 6: Final answer
    x = 6,273.15

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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.