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Finding the Fourth Proportional to 11,574.30, 17,357.84 and 4,177.80

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Solution

The fourth proportional to 11,574.30, 17,357.84 and 4,177.80 is: 6,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.30 : 17,357.84 = 4,177.80 : x
  2. Step 2: Convert to fraction form
    11,574.30/17,357.84 = 4,177.80/x
  3. Step 3: Cross multiply
    11,574.30x = 17,357.84 × 4,177.80
  4. Step 4: Simplify right side
    11,574.30x = 72,517,583.95
  5. Step 5: Solve for x
    x = 72,517,583.95/11,574.30
  6. Step 6: Final answer
    x = 6,265.40

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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.