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Finding the Fourth Proportional to 7,635.60, 11,453.40 and 2,705.40

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Solution

The fourth proportional to 7,635.60, 11,453.40 and 2,705.40 is: 4,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.60 : 11,453.40 = 2,705.40 : x
  2. Step 2: Convert to fraction form
    7,635.60/11,453.40 = 2,705.40/x
  3. Step 3: Cross multiply
    7,635.60x = 11,453.40 × 2,705.40
  4. Step 4: Simplify right side
    7,635.60x = 30,986,028.36
  5. Step 5: Solve for x
    x = 30,986,028.36/7,635.60
  6. Step 6: Final answer
    x = 4,058.10

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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.