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Finding the Fourth Proportional to 7,633.60, 11,448.96 and 3,735.52

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Solution

The fourth proportional to 7,633.60, 11,448.96 and 3,735.52 is: 5,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.60 : 11,448.96 = 3,735.52 : x
  2. Step 2: Convert to fraction form
    7,633.60/11,448.96 = 3,735.52/x
  3. Step 3: Cross multiply
    7,633.60x = 11,448.96 × 3,735.52
  4. Step 4: Simplify right side
    7,633.60x = 42,767,819.06
  5. Step 5: Solve for x
    x = 42,767,819.06/7,633.60
  6. Step 6: Final answer
    x = 5,602.58

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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.