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Finding the Fourth Proportional to 7,841.40, 11,763.12 and 2,574.60

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Solution

The fourth proportional to 7,841.40, 11,763.12 and 2,574.60 is: 3,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.40 : 11,763.12 = 2,574.60 : x
  2. Step 2: Convert to fraction form
    7,841.40/11,763.12 = 2,574.60/x
  3. Step 3: Cross multiply
    7,841.40x = 11,763.12 × 2,574.60
  4. Step 4: Simplify right side
    7,841.40x = 30,285,328.75
  5. Step 5: Solve for x
    x = 30,285,328.75/7,841.40
  6. Step 6: Final answer
    x = 3,862.23

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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.