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Finding the Fourth Proportional to 7,637.60, 11,460 and 3,739.84

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Solution

The fourth proportional to 7,637.60, 11,460 and 3,739.84 is: 5,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.60 : 11,460 = 3,739.84 : x
  2. Step 2: Convert to fraction form
    7,637.60/11,460 = 3,739.84/x
  3. Step 3: Cross multiply
    7,637.60x = 11,460 × 3,739.84
  4. Step 4: Simplify right side
    7,637.60x = 42,858,566.40
  5. Step 5: Solve for x
    x = 42,858,566.40/7,637.60
  6. Step 6: Final answer
    x = 5,611.52

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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.